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</br><a href='index.html'>  <span class='booktitleinheader'>Volume 1: 逻辑基础</span><br></br>
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<td>Global Index</td>
<td><a href="coqindex.html#global_A">A</a></td>
<td><a href="coqindex.html#global_B">B</a></td>
<td><a href="coqindex.html#global_C">C</a></td>
<td><a href="coqindex.html#global_D">D</a></td>
<td><a href="coqindex.html#global_E">E</a></td>
<td><a href="coqindex.html#global_F">F</a></td>
<td><a href="coqindex.html#global_G">G</a></td>
<td><a href="coqindex.html#global_H">H</a></td>
<td><a href="coqindex.html#global_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#global_L">L</a></td>
<td><a href="coqindex.html#global_M">M</a></td>
<td><a href="coqindex.html#global_N">N</a></td>
<td><a href="coqindex.html#global_O">O</a></td>
<td><a href="coqindex.html#global_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#global_R">R</a></td>
<td><a href="coqindex.html#global_S">S</a></td>
<td><a href="coqindex.html#global_T">T</a></td>
<td><a href="coqindex.html#global_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#global_W">W</a></td>
<td><a href="coqindex.html#global_X">X</a></td>
<td><a href="coqindex.html#global_Y">Y</a></td>
<td><a href="coqindex.html#global_Z">Z</a></td>
<td><a href="coqindex.html#global_:">:</a></td>
<td>_</td>
<td>(1238 entries)</td>
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<tr>
<td>Notation Index</td>
<td><a href="coqindex.html#notation_A">A</a></td>
<td><a href="coqindex.html#notation_B">B</a></td>
<td>C</td>
<td>D</td>
<td>E</td>
<td>F</td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td><a href="coqindex.html#notation_M">M</a></td>
<td><a href="coqindex.html#notation_N">N</a></td>
<td>O</td>
<td><a href="coqindex.html#notation_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#notation_R">R</a></td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td><a href="coqindex.html#notation_:">:</a></td>
<td>_</td>
<td>(68 entries)</td>
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<tr>
<td>Module Index</td>
<td><a href="coqindex.html#module_A">A</a></td>
<td><a href="coqindex.html#module_B">B</a></td>
<td>C</td>
<td>D</td>
<td><a href="coqindex.html#module_E">E</a></td>
<td>F</td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td><a href="coqindex.html#module_M">M</a></td>
<td><a href="coqindex.html#module_N">N</a></td>
<td><a href="coqindex.html#module_O">O</a></td>
<td><a href="coqindex.html#module_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#module_R">R</a></td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(25 entries)</td>
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<tr>
<td>Library Index</td>
<td><a href="coqindex.html#library_A">A</a></td>
<td><a href="coqindex.html#library_B">B</a></td>
<td>C</td>
<td>D</td>
<td><a href="coqindex.html#library_E">E</a></td>
<td>F</td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#library_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#library_L">L</a></td>
<td><a href="coqindex.html#library_M">M</a></td>
<td>N</td>
<td>O</td>
<td><a href="coqindex.html#library_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#library_R">R</a></td>
<td>S</td>
<td><a href="coqindex.html#library_T">T</a></td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(19 entries)</td>
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<tr>
<td>Lemma Index</td>
<td><a href="coqindex.html#lemma_A">A</a></td>
<td><a href="coqindex.html#lemma_B">B</a></td>
<td><a href="coqindex.html#lemma_C">C</a></td>
<td><a href="coqindex.html#lemma_D">D</a></td>
<td><a href="coqindex.html#lemma_E">E</a></td>
<td><a href="coqindex.html#lemma_F">F</a></td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#lemma_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#lemma_L">L</a></td>
<td><a href="coqindex.html#lemma_M">M</a></td>
<td><a href="coqindex.html#lemma_N">N</a></td>
<td><a href="coqindex.html#lemma_O">O</a></td>
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<td>Q</td>
<td><a href="coqindex.html#lemma_R">R</a></td>
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<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td><a href="coqindex.html#lemma_Z">Z</a></td>
<td>_</td>
<td>(359 entries)</td>
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<tr>
<td>Constructor Index</td>
<td><a href="coqindex.html#constructor_A">A</a></td>
<td><a href="coqindex.html#constructor_B">B</a></td>
<td><a href="coqindex.html#constructor_C">C</a></td>
<td><a href="coqindex.html#constructor_D">D</a></td>
<td><a href="coqindex.html#constructor_E">E</a></td>
<td><a href="coqindex.html#constructor_F">F</a></td>
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<td>H</td>
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<td>J</td>
<td>K</td>
<td><a href="coqindex.html#constructor_L">L</a></td>
<td><a href="coqindex.html#constructor_M">M</a></td>
<td><a href="coqindex.html#constructor_N">N</a></td>
<td><a href="coqindex.html#constructor_O">O</a></td>
<td><a href="coqindex.html#constructor_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#constructor_R">R</a></td>
<td><a href="coqindex.html#constructor_S">S</a></td>
<td><a href="coqindex.html#constructor_T">T</a></td>
<td><a href="coqindex.html#constructor_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#constructor_W">W</a></td>
<td>X</td>
<td><a href="coqindex.html#constructor_Y">Y</a></td>
<td><a href="coqindex.html#constructor_Z">Z</a></td>
<td>_</td>
<td>(211 entries)</td>
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<tr>
<td>Axiom Index</td>
<td>A</td>
<td>B</td>
<td>C</td>
<td>D</td>
<td>E</td>
<td><a href="coqindex.html#axiom_F">F</a></td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td>M</td>
<td>N</td>
<td>O</td>
<td>P</td>
<td>Q</td>
<td>R</td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(1 entry)</td>
</tr>
<tr>
<td>Inductive Index</td>
<td><a href="coqindex.html#inductive_A">A</a></td>
<td><a href="coqindex.html#inductive_B">B</a></td>
<td><a href="coqindex.html#inductive_C">C</a></td>
<td><a href="coqindex.html#inductive_D">D</a></td>
<td><a href="coqindex.html#inductive_E">E</a></td>
<td><a href="coqindex.html#inductive_F">F</a></td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#inductive_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#inductive_L">L</a></td>
<td><a href="coqindex.html#inductive_M">M</a></td>
<td><a href="coqindex.html#inductive_N">N</a></td>
<td><a href="coqindex.html#inductive_O">O</a></td>
<td><a href="coqindex.html#inductive_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#inductive_R">R</a></td>
<td><a href="coqindex.html#inductive_S">S</a></td>
<td><a href="coqindex.html#inductive_T">T</a></td>
<td>U</td>
<td>V</td>
<td><a href="coqindex.html#inductive_W">W</a></td>
<td>X</td>
<td><a href="coqindex.html#inductive_Y">Y</a></td>
<td>Z</td>
<td>_</td>
<td>(76 entries)</td>
</tr>
<tr>
<td>Definition Index</td>
<td><a href="coqindex.html#definition_A">A</a></td>
<td><a href="coqindex.html#definition_B">B</a></td>
<td><a href="coqindex.html#definition_C">C</a></td>
<td><a href="coqindex.html#definition_D">D</a></td>
<td><a href="coqindex.html#definition_E">E</a></td>
<td><a href="coqindex.html#definition_F">F</a></td>
<td>G</td>
<td><a href="coqindex.html#definition_H">H</a></td>
<td><a href="coqindex.html#definition_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#definition_L">L</a></td>
<td><a href="coqindex.html#definition_M">M</a></td>
<td><a href="coqindex.html#definition_N">N</a></td>
<td><a href="coqindex.html#definition_O">O</a></td>
<td><a href="coqindex.html#definition_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#definition_R">R</a></td>
<td><a href="coqindex.html#definition_S">S</a></td>
<td><a href="coqindex.html#definition_T">T</a></td>
<td><a href="coqindex.html#definition_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#definition_W">W</a></td>
<td><a href="coqindex.html#definition_X">X</a></td>
<td><a href="coqindex.html#definition_Y">Y</a></td>
<td><a href="coqindex.html#definition_Z">Z</a></td>
<td>_</td>
<td>(479 entries)</td>
</tr>
</table>
<hr/>
<h1>Global Index</h1>
<a name="global_A"></a><h2>A </h2>
<a href="LF.Basics.html#A">A</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ProofObjects.html#add1">add1</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Imp.html#aeval">aeval</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division">aevalR_division</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.ADiv">aevalR_division.ADiv</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.aevalR">aevalR_division.aevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.aexp">aevalR_division.aexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.AMinus">aevalR_division.AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.AMult">aevalR_division.AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.ANum">aevalR_division.ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.APlus">aevalR_division.APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_ADiv">aevalR_division.E_ADiv</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_AMinus">aevalR_division.E_AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_AMult">aevalR_division.E_AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_ANum">aevalR_division.E_ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_APlus">aevalR_division.E_APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.::type_scope:x_'\\'_x">aevalR_division.::type_scope:x_'\\'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended">aevalR_extended</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AAny">aevalR_extended.AAny</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.aevalR">aevalR_extended.aevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.aexp">aevalR_extended.aexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AMinus">aevalR_extended.AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AMult">aevalR_extended.AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.ANum">aevalR_extended.ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.APlus">aevalR_extended.APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_AMinus">aevalR_extended.E_AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_AMult">aevalR_extended.E_AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_ANum">aevalR_extended.E_ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_Any">aevalR_extended.E_Any</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_APlus">aevalR_extended.E_APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.::type_scope:x_'\\'_x">aevalR_extended.::type_scope:x_'\\'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aexp">aexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp">AExp</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aeval">AExp.aeval</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR">AExp.aevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try">AExp.aevalR_first_try</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.aevalR">AExp.aevalR_first_try.aevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_AMinus">AExp.aevalR_first_try.E_AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_AMult">AExp.aevalR_first_try.E_AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_ANum">AExp.aevalR_first_try.E_ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_APlus">AExp.aevalR_first_try.E_APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead">AExp.aevalR_first_try.TooHardToRead</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.aevalR">AExp.aevalR_first_try.TooHardToRead.aevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_AMinus">AExp.aevalR_first_try.TooHardToRead.E_AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_AMult">AExp.aevalR_first_try.TooHardToRead.E_AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_ANum">AExp.aevalR_first_try.TooHardToRead.E_ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_APlus">AExp.aevalR_first_try.TooHardToRead.E_APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.::type_scope:x_'\\'_x">AExp.aevalR_first_try.::type_scope:x_'\\'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aeval_iff_aevalR">AExp.aeval_iff_aevalR</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aeval_iff_aevalR'">AExp.aeval_iff_aevalR'</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aexp">AExp.aexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.AMinus">AExp.AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.AMult">AExp.AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.ANum">AExp.ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.APlus">AExp.APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BAnd">AExp.BAnd</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BEq">AExp.BEq</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.beval">AExp.beval</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.bevalR">AExp.bevalR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.beval_iff_bevalR">AExp.beval_iff_bevalR</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.bexp">AExp.bexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BFalse">AExp.BFalse</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BLe">AExp.BLe</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BNot">AExp.BNot</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BTrue">AExp.BTrue</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_AMinus">AExp.E_AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_AMult">AExp.E_AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_ANum">AExp.E_ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_APlus">AExp.E_APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.foo">AExp.foo</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.foo'">AExp.foo'</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.In10">AExp.In10</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.In10'">AExp.In10'</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.manual_grade_for_beval_rules">AExp.manual_grade_for_beval_rules</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus">AExp.optimize_0plus</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_b">AExp.optimize_0plus_b</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_b_sound">AExp.optimize_0plus_b_sound</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound">AExp.optimize_0plus_sound</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound'">AExp.optimize_0plus_sound'</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound''">AExp.optimize_0plus_sound''</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly1">AExp.silly1</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly2">AExp.silly2</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly_presburger_example">AExp.silly_presburger_example</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.test_aeval1">AExp.test_aeval1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.test_optimize_0plus">AExp.test_optimize_0plus</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.::type_scope:x_'\\'_x">AExp.::type_scope:x_'\\'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aexp1">aexp1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AId">AId</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Logic.html#All">All</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#all3_spec">all3_spec</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#All_In">All_In</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#all_zero">all_zero</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#alpha">alpha</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Imp.html#AMinus">AMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AMult">AMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#andb">andb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb3">andb3</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb3_exchange">andb3_exchange</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative">andb_commutative</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative'">andb_commutative'</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative''">andb_commutative''</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_eq_orb">andb_eq_orb</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#andb_false_r">andb_false_r</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#andb_true_elim2">andb_true_elim2</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#andb_true_iff">andb_true_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_assoc">and_assoc</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_commut">and_commut</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example">and_example</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example'">and_example'</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2">and_example2</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2'">and_example2'</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2''">and_example2''</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example3">and_example3</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_exercise">and_exercise</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_intro">and_intro</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Rel.html#antisymmetric">antisymmetric</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Imp.html#ANum">ANum</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#APlus">APlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#app">app</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#App">App</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Maps.html#apply_empty">apply_empty</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Logic.html#apply_iff_example">apply_iff_example</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#app_assoc">app_assoc</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#app_exists">app_exists</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#app_length">app_length</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#app_ne">app_ne</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#app_nil_r">app_nil_r</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="Auto.html">Auto</a> [library]<br/>
<a href="LF.Auto.html#auto_example_1">auto_example_1</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_1'">auto_example_1'</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_2">auto_example_2</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_3">auto_example_3</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_4">auto_example_4</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_6">auto_example_6</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_6'">auto_example_6'</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_7">auto_example_7</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_7'">auto_example_7'</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<br/><br/><a name="global_B"></a><h2>B </h2>
<a href="LF.Basics.html#B">B</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BAnd">BAnd</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Tactics.html#bar">bar</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="Basics.html">Basics</a> [library]<br/>
<a href="LF.Lists.html#baz">baz</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#Baz1">Baz1</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#Baz2">Baz2</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndPrinciples.html#bempty">bempty</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Imp.html#BEq">BEq</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#beval">beval</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#bexp">bexp</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#bexp1">bexp1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BFalse">BFalse</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="Bib.html">Bib</a> [library]<br/>
<a href="LF.ImpParser.html#bignumber">bignumber</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#bin">bin</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#bin_to_nat">bin_to_nat</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#bit">bit</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#bits">bits</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#black">black</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BLe">BLe</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#bleaf">bleaf</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#blue">blue</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#blue">blue</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BNot">BNot</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#bool">bool</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#boollist">boollist</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#bool_cons">bool_cons</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#bool_fn_applied_thrice">bool_fn_applied_thrice</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#bool_nil">bool_nil</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#bool_to_bexp">bool_to_bexp</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp">BreakImp</a> [module, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.break_ignore">BreakImp.break_ignore</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CAss">BreakImp.CAss</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CBreak">BreakImp.CBreak</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.ceval">BreakImp.ceval</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.ceval_deterministic">BreakImp.ceval_deterministic</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CIf">BreakImp.CIf</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.com">BreakImp.com</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CSeq">BreakImp.CSeq</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CSkip">BreakImp.CSkip</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CWhile">BreakImp.CWhile</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.E_Skip">BreakImp.E_Skip</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.result">BreakImp.result</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.SBreak">BreakImp.SBreak</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.SContinue">BreakImp.SContinue</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_break_true">BreakImp.while_break_true</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_continue">BreakImp.while_continue</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_stops_on_break">BreakImp.while_stops_on_break</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">BreakImp.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::x_';;'_x">BreakImp.:::x_';;'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::x_'=['_x_']=>'_x_'/'_x">BreakImp.:::x_'=['_x_']=>'_x_'/'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'BREAK'">BreakImp.:::'BREAK'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'SKIP'">BreakImp.:::'SKIP'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">BreakImp.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'WHILE'_x_'DO'_x_'END'">BreakImp.:::'WHILE'_x_'DO'_x_'END'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BTrue">BTrue</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#byntree">byntree</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#B<sub>0</sub>">B<sub>0</sub></a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#B<sub>1</sub>">B<sub>1</sub></a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="global_C"></a><h2>C </h2>
<a href="LF.IndProp.html#c">c</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#CAss">CAss</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#ceval">ceval</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Auto.html#ceval'_example1">ceval'_example1</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_and_ceval_step_coincide">ceval_and_ceval_step_coincide</a> [lemma, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Imp.html#ceval_deterministic">ceval_deterministic</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic">ceval_deterministic</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'">ceval_deterministic'</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_deterministic'">ceval_deterministic'</a> [lemma, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic''">ceval_deterministic''</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'''">ceval_deterministic'''</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic''''">ceval_deterministic''''</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'''''">ceval_deterministic'''''</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'_alt">ceval_deterministic'_alt</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Imp.html#ceval_example1">ceval_example1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Auto.html#ceval_example1">ceval_example1</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Imp.html#ceval_example2">ceval_example2</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#ceval_fun_no_while">ceval_fun_no_while</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step">ceval_step</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step1">ceval_step1</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step2">ceval_step2</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step3">ceval_step3</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step_more">ceval_step_more</a> [lemma, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step__ceval">ceval_step__ceval</a> [lemma, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval__ceval_step">ceval__ceval_step</a> [lemma, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.IndProp.html#Char">Char</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#chartype">chartype</a> [inductive, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#char_eps_suffix">char_eps_suffix</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#char_nomatch_char">char_nomatch_char</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#CIf">CIf</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#classifyChar">classifyChar</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Rel.html#clos_refl_trans">clos_refl_trans</a> [inductive, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#clos_refl_trans_1n">clos_refl_trans_1n</a> [inductive, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Basics.html#color">color</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#com">com</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#combine">combine</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#combine_odd_even">combine_odd_even</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_elim_even">combine_odd_even_elim_even</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_elim_odd">combine_odd_even_elim_odd</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_intro">combine_odd_even_intro</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#combine_split">combine_split</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#cons">cons</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#constfun">constfun</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#constfun_example1">constfun_example1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#constfun_example2">constfun_example2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#cons'">cons'</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#contradiction_implies_anything">contradiction_implies_anything</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#contrapositive">contrapositive</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#count">count</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#countoddmembers'">countoddmembers'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#CSeq">CSeq</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#CSkip">CSkip</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#CWhile">CWhile</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#C<sub>1</sub>">C<sub>1</sub></a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#C<sub>2</sub>">C<sub>2</sub></a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="global_D"></a><h2>D </h2>
<a href="LF.IndProp.html#d">d</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#day">day</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#derive">derive</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#derives">derives</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#derive_corr">derive_corr</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#de_morgan_not_and_not">de_morgan_not_and_not</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.ImpParser.html#digit">digit</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>1</sub>">discriminate_ex<sub>1</sub></a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>2</sub>">discriminate_ex<sub>2</sub></a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>3</sub>">discriminate_ex<sub>3</sub></a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#dist_exists_or">dist_exists_or</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#dist_not_exists">dist_not_exists</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#doit3times">doit3times</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Induction.html#double">double</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Tactics.html#double_injective">double_injective</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_FAILED">double_injective_FAILED</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_take2">double_injective_take2</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_take2_FAILED">double_injective_take2_FAILED</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#double_neg">double_neg</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#double_negation_elimination">double_negation_elimination</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#double_plus">double_plus</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<br/><br/><a name="global_E"></a><h2>E </h2>
<a href="LF.Auto.html#eauto_example">eauto_example</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpParser.html#eg<sub>1</sub>">eg<sub>1</sub></a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#eg<sub>2</sub>">eg<sub>2</sub></a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#empty">empty</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.IndProp.html#EmptySet">EmptySet</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#EmptyStr">EmptyStr</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#empty_is_empty">empty_is_empty</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#empty_matches_eps">empty_matches_eps</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#empty_nomatch_ne">empty_nomatch_ne</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#empty_st">empty_st</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#eqb">eqb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#eqbP">eqbP</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#eqbP_practice">eqbP_practice</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#eqb_eq">eqb_eq</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Lists.html#eqb_id">eqb_id</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#eqb_id_refl">eqb_id_refl</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Tactics.html#eqb_id_true">eqb_id_true</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#eqb_list">eqb_list</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#eqb_list_true_iff">eqb_list_true_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#eqb_neq">eqb_neq</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#eqb_refl">eqb_refl</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Maps.html#eqb_string">eqb_string</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_stringP">eqb_stringP</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_false_iff">eqb_string_false_iff</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_refl">eqb_string_refl</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_true_iff">eqb_string_true_iff</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Tactics.html#eqb_sym">eqb_sym</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_trans">eqb_trans</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_true">eqb_true</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_0_l">eqb_0_l</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Rel.html#equivalence">equivalence</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#even">even</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#evenb">evenb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#evenb_double">evenb_double</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#evenb_double_conv">evenb_double_conv</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#evenb_S">evenb_S</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#even'">even'</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_ev">even'_ev</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_sum">even'_sum</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_0">even'_0</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_2">even'_2</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even5_nonsense">even5_nonsense</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#even_bool_prop">even_bool_prop</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_1000">even_1000</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_1000'">even_1000'</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_1000''">even_1000''</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_42_bool">even_42_bool</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_42_prop">even_42_prop</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#evSS_ev">evSS_ev</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#evSS_ev">evSS_ev</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#evSS_ev'">evSS_ev'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_double">ev_double</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even">ev_even</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even_firsttry">ev_even_firsttry</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even_iff">ev_even_iff</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#ev_ev'">ev_ev'</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#ev_ev__ev">ev_ev__ev</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_inversion">ev_inversion</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_minus2">ev_minus2</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2">ev_plus2</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2'">ev_plus2'</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2''">ev_plus2''</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#ev_plus4">ev_plus4</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4">ev_plus4</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4'">ev_plus4'</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4''">ev_plus4''</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#ev_plus_plus">ev_plus_plus</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_SS">ev_SS</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_sum">ev_sum</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_0">ev_0</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_4">ev_4</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#ev_4">ev_4</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_4'">ev_4'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_4'">ev_4'</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_4''">ev_4''</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_4'''">ev_4'''</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_8">ev_8</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_8'">ev_8'</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Maps.html#examplemap">examplemap</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#examplemap'">examplemap'</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#examplepmap">examplepmap</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Imp.html#example_aexp">example_aexp</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#example_bexp">example_bexp</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Maps.html#example_empty">example_empty</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Logic.html#excluded_middle">excluded_middle</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#excluded_middle_irrefutable">excluded_middle_irrefutable</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#Exercises">Exercises</a> [module, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church">Exercises.Church</a> [module, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.cnat">Exercises.Church.cnat</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp">Exercises.Church.exp</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_1">Exercises.Church.exp_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_2">Exercises.Church.exp_2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_3">Exercises.Church.exp_3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult">Exercises.Church.mult</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_1">Exercises.Church.mult_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_2">Exercises.Church.mult_2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_3">Exercises.Church.mult_3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.one">Exercises.Church.one</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus">Exercises.Church.plus</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_1">Exercises.Church.plus_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_2">Exercises.Church.plus_2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_3">Exercises.Church.plus_3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ">Exercises.Church.succ</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_1">Exercises.Church.succ_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_2">Exercises.Church.succ_2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_3">Exercises.Church.succ_3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.three">Exercises.Church.three</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.two">Exercises.Church.two</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.zero">Exercises.Church.zero</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.curry_uncurry">Exercises.curry_uncurry</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_length">Exercises.fold_length</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_length_correct">Exercises.fold_length_correct</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_map">Exercises.fold_map</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.manual_grade_for_fold_map">Exercises.manual_grade_for_fold_map</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.manual_grade_for_informal_proof">Exercises.manual_grade_for_informal_proof</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.prod_curry">Exercises.prod_curry</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.prod_uncurry">Exercises.prod_uncurry</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.test_fold_length1">Exercises.test_fold_length1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.test_map1'">Exercises.test_map1'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.uncurry_curry">Exercises.uncurry_curry</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#existsb">existsb</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#existsb'">existsb'</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#existsb_existsb'">existsb_existsb'</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#exists_example_2">exists_example_2</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#exp">exp</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#expect">expect</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#exp_match">exp_match</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#ExSet">ExSet</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="Extraction.html">Extraction</a> [library]<br/>
<a href="LF.Logic.html#ex_falso_quodlibet">ex_falso_quodlibet</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Imp.html#E_Ass">E_Ass</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_IfFalse">E_IfFalse</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_IfTrue">E_IfTrue</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_Seq">E_Seq</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_Skip">E_Skip</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_WhileFalse">E_WhileFalse</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_WhileTrue">E_WhileTrue</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="global_F"></a><h2>F </h2>
<a href="LF.Basics.html#factorial">factorial</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#fact_in_coq">fact_in_coq</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#false">false</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Maps.html#false_eqb_string">false_eqb_string</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Poly.html#filter">filter</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#filter_even_gt<sub>7</sub>">filter_even_gt<sub>7</sub></a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#filter_exercise">filter_exercise</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#filter_not_empty_In">filter_not_empty_In</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#filter_not_empty_In'">filter_not_empty_In'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#firstExpect">firstExpect</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#flat_map">flat_map</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold">fold</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example1">fold_example1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example2">fold_example2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example3">fold_example3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#foo">foo</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndPrinciples.html#foo'">foo'</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Logic.html#forallb">forallb</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#forallb">forallb</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#forallb_true_iff">forallb_true_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#four_is_even">four_is_even</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#friday">friday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#fst">fst</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#ftrue">ftrue</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#functional_extensionality">functional_extensionality</a> [axiom, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>1</sub>">function_equality_ex<sub>1</sub></a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>2</sub>">function_equality_ex<sub>2</sub></a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>2</sub>">function_equality_ex<sub>2</sub></a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#f_equal">f_equal</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<br/><br/><a name="global_G"></a><h2>G </h2>
<a href="LF.IndPrinciples.html#green">green</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#green">green</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="global_H"></a><h2>H </h2>
<a href="LF.Poly.html#hd_error">hd_error</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="global_I"></a><h2>I </h2>
<a href="LF.Lists.html#id">id</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#Id">Id</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#identity_fn_applied_twice">identity_fn_applied_twice</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#iff_refl">iff_refl</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#iff_reflect">iff_reflect</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#iff_sym">iff_sym</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#iff_trans">iff_trans</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="Imp.html">Imp</a> [library]<br/>
<a href="ImpCEvalFun.html">ImpCEvalFun</a> [library]<br/>
<a href="LF.Logic.html#implies_to_or">implies_to_or</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="ImpParser.html">ImpParser</a> [library]<br/>
<a href="LF.Logic.html#In">In</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#incr">incr</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="IndPrinciples.html">IndPrinciples</a> [library]<br/>
<a href="IndProp.html">IndProp</a> [library]<br/>
<a href="Induction.html">Induction</a> [library]<br/>
<a href="LF.Tactics.html#injection_ex<sub>1</sub>">injection_ex<sub>1</sub></a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#injection_ex<sub>2</sub>">injection_ex<sub>2</sub></a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#injection_ex<sub>3</sub>">injection_ex<sub>3</sub></a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#injective">injective</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#inversion_ex<sub>1</sub>">inversion_ex<sub>1</sub></a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#inversion_ex<sub>2</sub>">inversion_ex<sub>2</sub></a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#In_app_iff">In_app_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_example_1">In_example_1</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_example_2">In_example_2</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_map">In_map</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_map_iff">In_map_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil">in_not_nil</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42">in_not_nil_42</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take2">in_not_nil_42_take2</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take3">in_not_nil_42_take3</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take4">in_not_nil_42_take4</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take5">in_not_nil_42_take5</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#in_re_match">in_re_match</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#in_split">in_split</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#isAlpha">isAlpha</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#isDigit">isDigit</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#isLowerAlpha">isLowerAlpha</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#isred">isred</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#isWhite">isWhite</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#is_der">is_der</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#is_even_prime">is_even_prime</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Auto.html#is_fortytwo">is_fortytwo</a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Logic.html#is_three">is_three</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="global_L"></a><h2>L </h2>
<a href="LF.IndPrinciples.html#le">le</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#leaf">leaf</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#leb">leb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#leb_complete">leb_complete</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#leb_correct">leb_correct</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#leb_iff">leb_iff</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#leb_refl">leb_refl</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#leb_true_trans">leb_true_trans</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#lemma_application_ex">lemma_application_ex</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#length">length</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#length_is_1">length_is_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Auto.html#le_antisym">le_antisym</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Rel.html#le_antisymmetric">le_antisymmetric</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndPrinciples.html#le_n">le_n</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Rel.html#le_not_a_partial_function">le_not_a_partial_function</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_not_symmetric">le_not_symmetric</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_order">le_order</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#le_plus_l">le_plus_l</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#le_reflexive">le_reflexive</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndPrinciples.html#le_S">le_S</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Rel.html#le_Sn_le">le_Sn_le</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_Sn_n">le_Sn_n</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_step">le_step</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_S_n">le_S_n</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_trans">le_trans</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#le_trans">le_trans</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#list">list</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="Lists.html">Lists</a> [library]<br/>
<a href="LF.Poly.html#list'">list'</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123">list123</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123'">list123'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123''">list123''</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123'''">list123'''</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#list_of_string">list_of_string</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="Logic.html">Logic</a> [library]<br/>
<a href="LF.Imp.html#loop">loop</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#loop_never_stops">loop_never_stops</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#lt">lt</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#ltb">ltb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#lt_S">lt_S</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#lt_trans">lt_trans</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#lt_trans'">lt_trans'</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#lt_trans''">lt_trans''</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<br/><br/><a name="global_M"></a><h2>M </h2>
<a href="LF.Lists.html#manual_grade_for_baz_num_elts">manual_grade_for_baz_num_elts</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#manual_grade_for_binary">manual_grade_for_binary</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_commute">manual_grade_for_binary_commute</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_a">manual_grade_for_binary_inverse_a</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_b">manual_grade_for_binary_inverse_b</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_c">manual_grade_for_binary_inverse_c</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.ImpCEvalFun.html#manual_grade_for_ceval_step__ceval_inf">manual_grade_for_ceval_step__ceval_inf</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_check_repeats">manual_grade_for_check_repeats</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_destruct_induction">manual_grade_for_destruct_induction</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#manual_grade_for_double_neg_inf">manual_grade_for_double_neg_inf</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_filter_challenge">manual_grade_for_filter_challenge</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#manual_grade_for_fold_types_different">manual_grade_for_fold_types_different</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#manual_grade_for_informal_not_PNP">manual_grade_for_informal_not_PNP</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#manual_grade_for_informal_proof">manual_grade_for_informal_proof</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#manual_grade_for_mumble_grumble">manual_grade_for_mumble_grumble</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#manual_grade_for_negation_fn_applied_twice">manual_grade_for_negation_fn_applied_twice</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_NoDup_disjoint_etc">manual_grade_for_NoDup_disjoint_etc</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_nostutter">manual_grade_for_nostutter</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#manual_grade_for_no_whiles_terminating">manual_grade_for_no_whiles_terminating</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_pal_pal_app_rev_pal_rev">manual_grade_for_pal_pal_app_rev_pal_rev</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_plus_comm_informal">manual_grade_for_plus_comm_informal</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Tactics.html#manual_grade_for_split_combine">manual_grade_for_split_combine</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#manual_grade_for_XtimesYinZ_spec">manual_grade_for_XtimesYinZ_spec</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#many">many</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#many_helper">many_helper</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#map">map</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#MApp">MApp</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="Maps.html">Maps</a> [library]<br/>
<a href="LF.Poly.html#map_rev">map_rev</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#matches_regex">matches_regex</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#match_eps">match_eps</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#match_eps_refl">match_eps_refl</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MChar">MChar</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MEmpty">MEmpty</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#minustwo">minustwo</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#minus_diag">minus_diag</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#monday">monday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#monochrome">monochrome</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#MStarApp">MStarApp</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar'">MStar'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar''">MStar''</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar0">MStar0</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar1">MStar1</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#mult_assoc">mult_assoc</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#mult_comm">mult_comm</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#mult_eq_0">mult_eq_0</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#mult_plus_distr_r">mult_plus_distr_r</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#mult_S_1">mult_S_1</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#mult_0">mult_0</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#mult_0_l">mult_0_l</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#mult_0_plus">mult_0_plus</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#mult_0_plus'">mult_0_plus'</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#mult_0_r">mult_0_r</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#mult_0_r'">mult_0_r'</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#mult_0_r''">mult_0_r''</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Logic.html#mult_0_3">mult_0_3</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#mult_1_l">mult_1_l</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble">MumbleGrumble</a> [module, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.a">MumbleGrumble.a</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.b">MumbleGrumble.b</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.c">MumbleGrumble.c</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.d">MumbleGrumble.d</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.e">MumbleGrumble.e</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.grumble">MumbleGrumble.grumble</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.mumble">MumbleGrumble.mumble</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#MUnionL">MUnionL</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MUnionR">MUnionR</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MUnion'">MUnion'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality">MyEquality</a> [module, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.eq">MyEquality.eq</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.equality__leibniz_equality">MyEquality.equality__leibniz_equality</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.eq_refl">MyEquality.eq_refl</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.four">MyEquality.four</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.four'">MyEquality.four'</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.leibniz_equality__equality">MyEquality.leibniz_equality__equality</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.singleton">MyEquality.singleton</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.::type_scope:x_'=='_x">MyEquality.::type_scope:x_'=='_x</a> [notation, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Logic.html#MyIff">MyIff</a> [module, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyIff.iff">MyIff.iff</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyIff.::type_scope:x_'<<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">MyIff.::type_scope:x_'<<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [notation, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#mynil">mynil</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#mynil">mynil</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#mynil'">mynil'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#MyNot">MyNot</a> [module, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyNot.not">MyNot.not</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyNot.::type_scope:'~'_x">MyNot.::type_scope:'~'_x</a> [notation, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="global_N"></a><h2>N </h2>
<a href="LF.Basics.html#nandb">nandb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#natlist">natlist</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Lists.html#NatList">NatList</a> [module, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.add">NatList.add</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.alternate">NatList.alternate</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app">NatList.app</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_assoc">NatList.app_assoc</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_assoc4">NatList.app_assoc4</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_length">NatList.app_length</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_nil_r">NatList.app_nil_r</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.bag">NatList.bag</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.cons">NatList.cons</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.count">NatList.count</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.countoddmembers">NatList.countoddmembers</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.count_member_nonzero">NatList.count_member_nonzero</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.eqblist">NatList.eqblist</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.eqblist_refl">NatList.eqblist_refl</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst">NatList.fst</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst'">NatList.fst'</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst_swap_is_snd">NatList.fst_swap_is_snd</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.hd">NatList.hd</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.hd_error">NatList.hd_error</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.leb_n_Sn">NatList.leb_n_Sn</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.length">NatList.length</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.manual_grade_for_bag_theorem">NatList.manual_grade_for_bag_theorem</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.manual_grade_for_rev_injective">NatList.manual_grade_for_rev_injective</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.member">NatList.member</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist">NatList.mylist</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist1">NatList.mylist1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist2">NatList.mylist2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist3">NatList.mylist3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.natlist">NatList.natlist</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.natoption">NatList.natoption</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.natprod">NatList.natprod</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nil">NatList.nil</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nil_app">NatList.nil_app</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.None">NatList.None</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nonzeros">NatList.nonzeros</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nonzeros_app">NatList.nonzeros_app</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_bad">NatList.nth_bad</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_error">NatList.nth_error</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_error'">NatList.nth_error'</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.oddmembers">NatList.oddmembers</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.option_elim">NatList.option_elim</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.option_elim_hd">NatList.option_elim_hd</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.pair">NatList.pair</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_all">NatList.remove_all</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_does_not_increase_count">NatList.remove_does_not_increase_count</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_one">NatList.remove_one</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.repeat">NatList.repeat</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev">NatList.rev</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_app_distr">NatList.rev_app_distr</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_involutive">NatList.rev_involutive</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_length">NatList.rev_length</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_length_firsttry">NatList.rev_length_firsttry</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd">NatList.snd</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd'">NatList.snd'</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd_fst_is_swap">NatList.snd_fst_is_swap</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.Some">NatList.Some</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.subset">NatList.subset</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.sum">NatList.sum</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing">NatList.surjective_pairing</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing'">NatList.surjective_pairing'</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing_stuck">NatList.surjective_pairing_stuck</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.swap_pair">NatList.swap_pair</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_add1">NatList.test_add1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_add2">NatList.test_add2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate1">NatList.test_alternate1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate2">NatList.test_alternate2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate3">NatList.test_alternate3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate4">NatList.test_alternate4</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app1">NatList.test_app1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app2">NatList.test_app2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app3">NatList.test_app3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers1">NatList.test_countoddmembers1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers2">NatList.test_countoddmembers2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers3">NatList.test_countoddmembers3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_count1">NatList.test_count1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_count2">NatList.test_count2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist1">NatList.test_eqblist1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist2">NatList.test_eqblist2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist3">NatList.test_eqblist3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd<sub>1</sub>">NatList.test_hd<sub>1</sub></a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd<sub>2</sub>">NatList.test_hd<sub>2</sub></a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error1">NatList.test_hd_error1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error2">NatList.test_hd_error2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error3">NatList.test_hd_error3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_member1">NatList.test_member1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_member2">NatList.test_member2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nonzeros">NatList.test_nonzeros</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error1">NatList.test_nth_error1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error2">NatList.test_nth_error2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error3">NatList.test_nth_error3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_oddmembers">NatList.test_oddmembers</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all1">NatList.test_remove_all1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all2">NatList.test_remove_all2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all3">NatList.test_remove_all3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all4">NatList.test_remove_all4</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one1">NatList.test_remove_one1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one2">NatList.test_remove_one2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one3">NatList.test_remove_one3</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one4">NatList.test_remove_one4</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_rev1">NatList.test_rev1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_rev2">NatList.test_rev2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_subset1">NatList.test_subset1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_subset2">NatList.test_subset2</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_sum1">NatList.test_sum1</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_tl">NatList.test_tl</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.tl">NatList.tl</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.tl_length_pred">NatList.tl_length_pred</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::x_'++'_x">NatList.:::x_'++'_x</a> [notation, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::x_'::'_x">NatList.:::x_'::'_x</a> [notation, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'('_x_','_x_')'">NatList.:::'('_x_','_x_')'</a> [notation, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'['_x_';'_'..'_';'_x_']'">NatList.:::'['_x_';'_'..'_';'_x_']'</a> [notation, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'['_']'">NatList.:::'['_']'</a> [notation, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndPrinciples.html#natlist1">natlist1</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#NatPlayground">NatPlayground</a> [module, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.nat">NatPlayground.nat</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.nat'">NatPlayground.nat'</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.O">NatPlayground.O</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.pred">NatPlayground.pred</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.S">NatPlayground.S</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.stop">NatPlayground.stop</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.tick">NatPlayground.tick</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2">NatPlayground2</a> [module, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.minus">NatPlayground2.minus</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.mult">NatPlayground2.mult</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.plus">NatPlayground2.plus</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.test_mult1">NatPlayground2.test_mult1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#nat_bin_nat">nat_bin_nat</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#nat_to_bin">nat_to_bin</a> [definition, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#nbranch">nbranch</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#ncons">ncons</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#negb">negb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#negb_involutive">negb_involutive</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#next_even">next_even</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#next_nat">next_nat</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#next_nat_closure_is_le">next_nat_closure_is_le</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#next_nat_partial_function">next_nat_partial_function</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Basics.html#next_weekday">next_weekday</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#ne_1">ne_1</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ne_2">ne_2</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#nil">nil</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#nil'">nil'</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#nn">nn</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#nnil">nnil</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#nnil1">nnil1</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#no">no</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#node">node</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.ImpParser.html#NoneE">NoneE</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#nostutter">nostutter</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#not_both_true_and_false">not_both_true_and_false</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#not_equiv_false">not_equiv_false</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#not_even_1001">not_even_1001</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_even_1001'">not_even_1001'</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_exists_dist">not_exists_dist</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_False">not_False</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_implies_our_not">not_implies_our_not</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_iff_false">not_true_iff_false</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_is_false">not_true_is_false</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_is_false'">not_true_is_false'</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Imp.html#no_whiles">no_whiles</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#no_whilesR">no_whilesR</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#no_whiles_eqv">no_whiles_eqv</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#nsnoc1">nsnoc1</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Poly.html#nth_error">nth_error</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#nth_error_after_last">nth_error_after_last</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#null_matches_none">null_matches_none</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#nybble">nybble</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#n_le_m__Sn_le_Sm">n_le_m__Sn_le_Sm</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="global_O"></a><h2>O </h2>
<a href="LF.Basics.html#oddb">oddb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#one_not_even">one_not_even</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#one_not_even'">one_not_even'</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#optionE">optionE</a> [inductive, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#OptionPlayground">OptionPlayground</a> [module, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#OptionPlayground.None">OptionPlayground.None</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#OptionPlayground.option">OptionPlayground.option</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#OptionPlayground.Some">OptionPlayground.Some</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#option_map">option_map</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#orb">orb</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#orb_true_iff">orb_true_iff</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Rel.html#order">order</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Logic.html#or_assoc">or_assoc</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_commut">or_commut</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_distributes_over_and">or_distributes_over_and</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_example">or_example</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_intro">or_intro</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.ImpParser.html#other">other</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#O_le_n">O_le_n</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="global_P"></a><h2>P </h2>
<a href="LF.Poly.html#pair">pair</a> [constructor, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#parse">parse</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseAExp">parseAExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseAtomicExp">parseAtomicExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseBExp">parseBExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseConjunctionExp">parseConjunctionExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseIdentifier">parseIdentifier</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseNumber">parseNumber</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parsePrimaryExp">parsePrimaryExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseProductExp">parseProductExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parser">parser</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSequencedCommand">parseSequencedCommand</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSimpleCommand">parseSimpleCommand</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSumExp">parseSumExp</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Lists.html#PartialMap">PartialMap</a> [module, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.empty">PartialMap.empty</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.find">PartialMap.find</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.partial_map">PartialMap.partial_map</a> [inductive, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.record">PartialMap.record</a> [constructor, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.update">PartialMap.update</a> [definition, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.update_eq">PartialMap.update_eq</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.update_neq">PartialMap.update_neq</a> [lemma, in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Rel.html#partial_function">partial_function</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Maps.html#partial_map">partial_map</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Poly.html#partition">partition</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#peirce">peirce</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#pigeonhole_principle">pigeonhole_principle</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground">Playground</a> [module, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.le">Playground.le</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.le_n">Playground.le_n</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.le_S">Playground.le_S</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>1</sub>">Playground.test_le<sub>1</sub></a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>2</sub>">Playground.test_le<sub>2</sub></a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>3</sub>">Playground.test_le<sub>3</sub></a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.:::x_'<='_x">Playground.:::x_'<='_x</a> [notation, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#plus'">plus'</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#plus2">plus2</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#plus2_spec">plus2_spec</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#plus3">plus3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Induction.html#plus_assoc">plus_assoc</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_assoc'">plus_assoc'</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_assoc'">plus_assoc'</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Induction.html#plus_assoc''">plus_assoc''</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_ble_compat_l">plus_ble_compat_l</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_comm">plus_comm</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_comm'">plus_comm'</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#plus_comm''">plus_comm''</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Logic.html#plus_comm3">plus_comm3</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_comm3_take2">plus_comm3_take2</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_comm3_take3">plus_comm3_take3</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_eqb_example">plus_eqb_example</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_fact">plus_fact</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_fact_is_true">plus_fact_is_true</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#plus_id_example">plus_id_example</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_id_exercise">plus_id_exercise</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#plus_lt">plus_lt</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Tactics.html#plus_n_n_injective">plus_n_n_injective</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Induction.html#plus_n_O">plus_n_O</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_O_firsttry">plus_n_O_firsttry</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_O_secondtry">plus_n_O_secondtry</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_Sm">plus_n_Sm</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_one_r'">plus_one_r'</a> [lemma, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#plus_O_n">plus_O_n</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_O_n'">plus_O_n'</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#plus_rearrange">plus_rearrange</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_rearrange_firsttry">plus_rearrange_firsttry</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_swap">plus_swap</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_swap'">plus_swap'</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#plus_1_l">plus_1_l</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0">plus_1_neq_0</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0'">plus_1_neq_0'</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0_firsttry">plus_1_neq_0_firsttry</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#plus_2_2_is_4">plus_2_2_is_4</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="Poly.html">Poly</a> [library]<br/>
<a href="Postscript.html">Postscript</a> [library]<br/>
<a href="Preface.html">Preface</a> [library]<br/>
<a href="LF.Rel.html#preorder">preorder</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Basics.html#primary">primary</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#prod">prod</a> [inductive, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#proj1">proj1</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#proj2">proj2</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="ProofObjects.html">ProofObjects</a> [library]<br/>
<a href="LF.ProofObjects.html#Props">Props</a> [module, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.And">Props.And</a> [module, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.And.and">Props.And.and</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.And.conj">Props.And.conj</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm">Props.and_comm</a> [lemma, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm'">Props.and_comm'</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm'_aux">Props.and_comm'_aux</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.conj_fact">Props.conj_fact</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex">Props.Ex</a> [module, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex.ex">Props.Ex.ex</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex.ex_intro">Props.Ex.ex_intro</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.ex_ev_Sn">Props.ex_ev_Sn</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.False">Props.False</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.I">Props.I</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or">Props.Or</a> [module, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or">Props.Or.or</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or_introl">Props.Or.or_introl</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or_intror">Props.Or.or_intror</a> [constructor, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.or_comm">Props.or_comm</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.some_nat_is_even">Props.some_nat_is_even</a> [definition, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.True">Props.True</a> [inductive, in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#provable_equiv_true">provable_equiv_true</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping">Pumping</a> [module, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.napp">Pumping.napp</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.napp_plus">Pumping.napp_plus</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.pumping">Pumping.pumping</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.pumping_constant">Pumping.pumping_constant</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpCEvalFun.html#pup_to_n">pup_to_n</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Imp.html#pup_to_n">pup_to_n</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#pup_to_2_ceval">pup_to_2_ceval</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#P_m0r">P_m0r</a> [definition, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#P_m0r'">P_m0r'</a> [definition, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="global_R"></a><h2>R </h2>
<a href="LF.IndProp.html#R">R</a> [module, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#red">red</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#red">red</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#reflect">reflect</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ReflectF">ReflectF</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ReflectT">ReflectT</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reflect_iff">reflect_iff</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#reflexive">reflexive</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#refl_matches_eps">refl_matches_eps</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#regex_match">regex_match</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#regex_refl">regex_refl</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp">reg_exp</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>1</sub>">reg_exp_ex<sub>1</sub></a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>2</sub>">reg_exp_ex<sub>2</sub></a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>3</sub>">reg_exp_ex<sub>3</sub></a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>4</sub>">reg_exp_ex<sub>4</sub></a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_of_list">reg_exp_of_list</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_of_list_spec">reg_exp_of_list_spec</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="Rel.html">Rel</a> [library]<br/>
<a href="LF.Rel.html#relation">relation</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Auto.html#Repeat">Repeat</a> [module, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Poly.html#repeat">repeat</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#repeats">repeats</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#repeat'">repeat'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#repeat''">repeat''</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#repeat'''">repeat'''</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Auto.html#Repeat.CAss">Repeat.CAss</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval">Repeat.ceval</a> [inductive, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval_deterministic">Repeat.ceval_deterministic</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval_deterministic'">Repeat.ceval_deterministic'</a> [lemma, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CIf">Repeat.CIf</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.com">Repeat.com</a> [inductive, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CRepeat">Repeat.CRepeat</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CSeq">Repeat.CSeq</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CSkip">Repeat.CSkip</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CWhile">Repeat.CWhile</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Ass">Repeat.E_Ass</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_IfFalse">Repeat.E_IfFalse</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_IfTrue">Repeat.E_IfTrue</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_RepeatEnd">Repeat.E_RepeatEnd</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_RepeatLoop">Repeat.E_RepeatLoop</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Seq">Repeat.E_Seq</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Skip">Repeat.E_Skip</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_WhileFalse">Repeat.E_WhileFalse</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_WhileTrue">Repeat.E_WhileTrue</a> [constructor, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">Repeat.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::x_';;'_x">Repeat.:::x_';;'_x</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::x_'=['_x_']=>'_x">Repeat.:::x_'=['_x_']=>'_x</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'REPEAT'_x_'UNTIL'_x_'END'">Repeat.:::'REPEAT'_x_'UNTIL'_x_'END'</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'SKIP'">Repeat.:::'SKIP'</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">Repeat.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'WHILE'_x_'DO'_x_'END'">Repeat.:::'WHILE'_x_'DO'_x_'END'</a> [notation, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Logic.html#restricted_excluded_middle">restricted_excluded_middle</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#restricted_excluded_middle_eq">restricted_excluded_middle_eq</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#rev">rev</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#rev_append">rev_append</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#rev_app_distr">rev_app_distr</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#rev_exercise1">rev_exercise1</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#rev_involutive">rev_involutive</a> [lemma, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#re_chars">re_chars</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#re_not_empty">re_not_empty</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#re_not_empty_correct">re_not_empty_correct</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#rgb">rgb</a> [inductive, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#rgb">rgb</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Rel.html#rsc_R">rsc_R</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rsc_trans">rsc_trans</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rtc_rsc_coincide">rtc_rsc_coincide</a> [lemma, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt1n_refl">rt1n_refl</a> [constructor, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt1n_trans">rt1n_trans</a> [constructor, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_refl">rt_refl</a> [constructor, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_step">rt_step</a> [constructor, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_trans">rt_trans</a> [constructor, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#R.c1">R.c1</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c2">R.c2</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c3">R.c3</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c4">R.c4</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c5">R.c5</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.fR">R.fR</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.manual_grade_for_R_provability">R.manual_grade_for_R_provability</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.R">R.R</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.R_equiv_fR">R.R_equiv_fR</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="global_S"></a><h2>S </h2>
<a href="LF.Basics.html#saturday">saturday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Tactics.html#sillyfun">sillyfun</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun1">sillyfun1</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun1_odd">sillyfun1_odd</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun1_odd_FAILED">sillyfun1_odd_FAILED</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun_false">sillyfun_false</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly1">silly1</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly2">silly2</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly2a">silly2a</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly3'">silly3'</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly3_firsttry">silly3_firsttry</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_ex">silly_ex</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_1">silly_fact_1</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2">silly_fact_2</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2'">silly_fact_2'</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2_FAILED">silly_fact_2_FAILED</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#sinstr">sinstr</a> [inductive, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SLoad">SLoad</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SMinus">SMinus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SMult">SMult</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#snd">snd</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#Sn_le_Sm__n_le_m">Sn_le_Sm__n_le_m</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#SomeE">SomeE</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#split">split</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#split">split</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#split_combine">split_combine</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#split_combine_statement">split_combine_statement</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#SPlus">SPlus</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SPush">SPush</a> [constructor, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#sq">sq</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Tactics.html#square">square</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#square_mult">square_mult</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#square_of">square_of</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#SSSSev__even">SSSSev__even</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Star">Star</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_ne">star_ne</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#state">state</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#string">string</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#string_of_list">string_of_list</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Auto.html#st<sub>12</sub>">st<sub>12</sub></a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#st<sub>21</sub>">st<sub>21</sub></a> [definition, in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.IndProp.html#subseq">subseq</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_app">subseq_app</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_refl">subseq_refl</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_trans">subseq_trans</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#subtract_slowly">subtract_slowly</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#subtract_slowly_body">subtract_slowly_body</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#subtract_3_from_5_slowly">subtract_3_from_5_slowly</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Logic.html#succ_inj">succ_inj</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#sunday">sunday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Rel.html#symmetric">symmetric</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Imp.html#s_compile">s_compile</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_compile1">s_compile1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_compile_correct">s_compile_correct</a> [lemma, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute">s_execute</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute1">s_execute1</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute2">s_execute2</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Tactics.html#S_inj">S_inj</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#S_injective">S_injective</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#S_injective'">S_injective'</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Induction.html#S_nbeq_0">S_nbeq_0</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<br/><br/><a name="global_T"></a><h2>T </h2>
<a href="Tactics.html">Tactics</a> [library]<br/>
<a href="LF.ImpParser.html#testParsing">testParsing</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#test_andb31">test_andb31</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb32">test_andb32</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb33">test_andb33</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb34">test_andb34</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_anon_fun'">test_anon_fun'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpCEvalFun.html#test_ceval">test_ceval</a> [definition, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'1">test_countoddmembers'1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'2">test_countoddmembers'2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'3">test_countoddmembers'3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#test_der0">test_der0</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der1">test_der1</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der2">test_der2</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der3">test_der3</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der4">test_der4</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der5">test_der5</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der6">test_der6</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der7">test_der7</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#test_doit3times">test_doit3times</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_doit3times'">test_doit3times'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#test_existsb_1">test_existsb_1</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_2">test_existsb_2</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_3">test_existsb_3</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_4">test_existsb_4</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Basics.html#test_factorial1">test_factorial1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_factorial2">test_factorial2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_filter1">test_filter1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter2">test_filter2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter2'">test_filter2'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter_even_gt7_1">test_filter_even_gt7_1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter_even_gt7_2">test_filter_even_gt7_2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_flat_map1">test_flat_map1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#test_forallb_1">test_forallb_1</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_2">test_forallb_2</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_3">test_forallb_3</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_4">test_forallb_4</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#test_hd_error1">test_hd_error1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_hd_error2">test_hd_error2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_leb1">test_leb1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb2">test_leb2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb3">test_leb3</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb3'">test_leb3'</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_length1">test_length1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_ltb1">test_ltb1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_ltb2">test_ltb2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_ltb3">test_ltb3</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_map1">test_map1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_map2">test_map2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_map3">test_map3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_nandb1">test_nandb1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb2">test_nandb2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb3">test_nandb3</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb4">test_nandb4</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_next_weekday">test_next_weekday</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_1">test_nostutter_1</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_2">test_nostutter_2</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_3">test_nostutter_3</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_4">test_nostutter_4</a> [definition, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#test_nth_error1">test_nth_error1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_nth_error2">test_nth_error2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_nth_error3">test_nth_error3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_oddb1">test_oddb1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_oddb2">test_oddb2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb1">test_orb1</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb2">test_orb2</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb3">test_orb3</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb4">test_orb4</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb5">test_orb5</a> [definition, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_partition1">test_partition1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_partition2">test_partition2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3">test_plus3</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3'">test_plus3'</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3''">test_plus3''</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_repeat1">test_repeat1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_repeat2">test_repeat2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_rev1">test_rev1</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_rev2">test_rev2</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_split">test_split</a> [definition, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#thursday">thursday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#token">token</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize">tokenize</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize_ex<sub>1</sub>">tokenize_ex<sub>1</sub></a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize_helper">tokenize_helper</a> [definition, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#total_map">total_map</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Rel.html#transitive">transitive</a> [definition, in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Tactics.html#trans_eq">trans_eq</a> [lemma, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#trans_eq_example">trans_eq_example</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#trans_eq_example'">trans_eq_example'</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#trans_eq_exercise">trans_eq_exercise</a> [definition, in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndPrinciples.html#tree">tree</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#true">true</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#True_is_true">True_is_true</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#tr_rev">tr_rev</a> [definition, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#tr_rev_correct">tr_rev_correct</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#tuesday">tuesday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Maps.html#t_apply_empty">t_apply_empty</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_empty">t_empty</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update">t_update</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_eq">t_update_eq</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_neq">t_update_neq</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_permute">t_update_permute</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_same">t_update_same</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_shadow">t_update_shadow</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="global_U"></a><h2>U </h2>
<a href="LF.IndProp.html#Union">Union</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#union_disj">union_disj</a> [lemma, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Maps.html#update">update</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_eq">update_eq</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example1">update_example1</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example2">update_example2</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example3">update_example3</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example4">update_example4</a> [definition, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_neq">update_neq</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_permute">update_permute</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_same">update_same</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_shadow">update_shadow</a> [lemma, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="global_W"></a><h2>W </h2>
<a href="LF.Imp.html#W">W</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#wednesday">wednesday</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#white">white</a> [constructor, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#white">white</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#wrong_ev">wrong_ev</a> [inductive, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#wrong_ev_SS">wrong_ev_SS</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#wrong_ev_0">wrong_ev_0</a> [constructor, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="global_X"></a><h2>X </h2>
<a href="LF.Imp.html#X">X</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#XtimesYinZ">XtimesYinZ</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="global_Y"></a><h2>Y </h2>
<a href="LF.Imp.html#Y">Y</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#yes">yes</a> [constructor, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#yesno">yesno</a> [inductive, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="global_Z"></a><h2>Z </h2>
<a href="LF.Imp.html#Z">Z</a> [definition, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#Z">Z</a> [constructor, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#zero_nbeq_plus_1">zero_nbeq_plus_1</a> [lemma, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#zero_nbeq_S">zero_nbeq_S</a> [lemma, in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#zero_not_one">zero_not_one</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#zero_or_succ">zero_or_succ</a> [lemma, in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="global_:"></a><h2>: </h2>
<a href="LF.Imp.html#::imp_scope:x_'&&'_x">::imp_scope:x_'&&'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'*'_x">::imp_scope:x_'*'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'+'_x">::imp_scope:x_'+'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'-'_x">::imp_scope:x_'-'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">::imp_scope:x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_';;'_x">::imp_scope:x_';;'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'<='_x">::imp_scope:x_'<='_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'='_x">::imp_scope:x_'='_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'SKIP'">::imp_scope:'SKIP'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">::imp_scope:'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'WHILE'_x_'DO'_x_'END'">::imp_scope:'WHILE'_x_'DO'_x_'END'</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'~'_x">::imp_scope:'~'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'*'_x">::nat_scope:x_'*'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'*'_x">::nat_scope:x_'*'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'+'_x">::nat_scope:x_'+'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'+'_x">::nat_scope:x_'+'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'-'_x">::nat_scope:x_'-'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#::nat_scope:x_'<=?'_x">::nat_scope:x_'<=?'_x</a> [notation, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'<=?'_x">::nat_scope:x_'<=?'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'<?'_x">::nat_scope:x_'<?'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'=?'_x">::nat_scope:x_'=?'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#::type_scope:x_'*'_x">::type_scope:x_'*'_x</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Maps.html#:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x_';'_x">:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x_';'_x</a> [notation, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Basics.html#:::x_'&&'_x">:::x_'&&'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#:::x_'++'_x">:::x_'++'_x</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::x_'::'_x">:::x_'::'_x</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#:::x_'<'_x">:::x_'<'_x</a> [notation, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#:::x_'<='_x">:::x_'<='_x</a> [notation, in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Imp.html#:::x_'=['_x_']=>'_x">:::x_'=['_x_']=>'_x</a> [notation, in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#:::x_'=~'_x">:::x_'=~'_x</a> [notation, in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Maps.html#:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x">:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x</a> [notation, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x_';'_x">:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x_';'_x</a> [notation, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Basics.html#:::x_'||'_x">:::x_'||'_x</a> [notation, in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpCEvalFun.html#:::'LETOPT'_x_'<=='_x_'IN'_x">:::'LETOPT'_x_'<=='_x_'IN'_x</a> [notation, in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpParser.html#:::'TRY'_''''_x_'<-'_x_';;'_x_'OR'_x">:::'TRY'_''''_x_'<-'_x_';;'_x_'OR'_x</a> [notation, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#:::''''_x_'<-'_x_';;'_x">:::''''_x_'<-'_x_';;'_x</a> [notation, in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#:::'''_'''_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">:::'''_'''_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [notation, in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Poly.html#:::'('_x_','_x_')'">:::'('_x_','_x_')'</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::'['_x_';'_'..'_';'_x_']'">:::'['_x_';'_'..'_';'_x_']'</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::'['_']'">:::'['_']'</a> [notation, in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><hr/>
<h1>Notation Index</h1>
<a name="notation_A"></a><h2>A </h2>
<a href="LF.Imp.html#aevalR_division.::type_scope:x_'\\'_x">aevalR_division.::type_scope:x_'\\'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.::type_scope:x_'\\'_x">aevalR_extended.::type_scope:x_'\\'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.::type_scope:x_'\\'_x">AExp.aevalR_first_try.::type_scope:x_'\\'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.::type_scope:x_'\\'_x">AExp.::type_scope:x_'\\'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="notation_B"></a><h2>B </h2>
<a href="LF.Imp.html#BreakImp.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">BreakImp.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::x_';;'_x">BreakImp.:::x_';;'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::x_'=['_x_']=>'_x_'/'_x">BreakImp.:::x_'=['_x_']=>'_x_'/'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'BREAK'">BreakImp.:::'BREAK'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'SKIP'">BreakImp.:::'SKIP'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">BreakImp.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.:::'WHILE'_x_'DO'_x_'END'">BreakImp.:::'WHILE'_x_'DO'_x_'END'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="notation_M"></a><h2>M </h2>
<a href="LF.ProofObjects.html#MyEquality.::type_scope:x_'=='_x">MyEquality.::type_scope:x_'=='_x</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Logic.html#MyIff.::type_scope:x_'<<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">MyIff.::type_scope:x_'<<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyNot.::type_scope:'~'_x">MyNot.::type_scope:'~'_x</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="notation_N"></a><h2>N </h2>
<a href="LF.Lists.html#NatList.:::x_'++'_x">NatList.:::x_'++'_x</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::x_'::'_x">NatList.:::x_'::'_x</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'('_x_','_x_')'">NatList.:::'('_x_','_x_')'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'['_x_';'_'..'_';'_x_']'">NatList.:::'['_x_';'_'..'_';'_x_']'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.:::'['_']'">NatList.:::'['_']'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<br/><br/><a name="notation_P"></a><h2>P </h2>
<a href="LF.IndProp.html#Playground.:::x_'<='_x">Playground.:::x_'<='_x</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="notation_R"></a><h2>R </h2>
<a href="LF.Auto.html#Repeat.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">Repeat.:::x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::x_';;'_x">Repeat.:::x_';;'_x</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::x_'=['_x_']=>'_x">Repeat.:::x_'=['_x_']=>'_x</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'REPEAT'_x_'UNTIL'_x_'END'">Repeat.:::'REPEAT'_x_'UNTIL'_x_'END'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'SKIP'">Repeat.:::'SKIP'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">Repeat.:::'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.:::'WHILE'_x_'DO'_x_'END'">Repeat.:::'WHILE'_x_'DO'_x_'END'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<br/><br/><a name="notation_:"></a><h2>: </h2>
<a href="LF.Imp.html#::imp_scope:x_'&&'_x">::imp_scope:x_'&&'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'*'_x">::imp_scope:x_'*'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'+'_x">::imp_scope:x_'+'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'-'_x">::imp_scope:x_'-'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x">::imp_scope:x_'<span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>:</span>:</span>=</span>'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_';;'_x">::imp_scope:x_';;'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'<='_x">::imp_scope:x_'<='_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:x_'='_x">::imp_scope:x_'='_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'SKIP'">::imp_scope:'SKIP'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'TEST'_x_'THEN'_x_'ELSE'_x_'FI'">::imp_scope:'TEST'_x_'THEN'_x_'ELSE'_x_'FI'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'WHILE'_x_'DO'_x_'END'">::imp_scope:'WHILE'_x_'DO'_x_'END'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#::imp_scope:'~'_x">::imp_scope:'~'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'*'_x">::nat_scope:x_'*'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'*'_x">::nat_scope:x_'*'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'+'_x">::nat_scope:x_'+'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'+'_x">::nat_scope:x_'+'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'-'_x">::nat_scope:x_'-'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#::nat_scope:x_'<=?'_x">::nat_scope:x_'<=?'_x</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'<=?'_x">::nat_scope:x_'<=?'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'<?'_x">::nat_scope:x_'<?'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#::nat_scope:x_'=?'_x">::nat_scope:x_'=?'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#::type_scope:x_'*'_x">::type_scope:x_'*'_x</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Maps.html#:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x_';'_x">:::x_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x_';'_x</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Basics.html#:::x_'&&'_x">:::x_'&&'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#:::x_'++'_x">:::x_'++'_x</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::x_'::'_x">:::x_'::'_x</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#:::x_'<'_x">:::x_'<'_x</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#:::x_'<='_x">:::x_'<='_x</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Imp.html#:::x_'=['_x_']=>'_x">:::x_'=['_x_']=>'_x</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#:::x_'=~'_x">:::x_'=~'_x</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Maps.html#:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x">:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x_';'_x">:::x_'<span class="nowrap"><span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>&#x22A2;</span><span style='font-size:90%;'>&gt;</span></span></span></span></span>'_x_';'_x</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Basics.html#:::x_'||'_x">:::x_'||'_x</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpCEvalFun.html#:::'LETOPT'_x_'<=='_x_'IN'_x">:::'LETOPT'_x_'<=='_x_'IN'_x</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpParser.html#:::'TRY'_''''_x_'<-'_x_';;'_x_'OR'_x">:::'TRY'_''''_x_'<-'_x_';;'_x_'OR'_x</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#:::''''_x_'<-'_x_';;'_x">:::''''_x_'<-'_x_';;'_x</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#:::'''_'''_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x">:::'''_'''_'!<span class="nowrap"><span style='font-size:85%;'><span style='vertical-align:5%;'><span style='letter-spacing:-.2em;'>-</span></span>&gt;</span></span>'_x</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Poly.html#:::'('_x_','_x_')'">:::'('_x_','_x_')'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::'['_x_';'_'..'_';'_x_']'">:::'['_x_';'_'..'_';'_x_']'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#:::'['_']'">:::'['_']'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><hr/>
<h1>Module Index</h1>
<a name="module_A"></a><h2>A </h2>
<a href="LF.Imp.html#aevalR_division">aevalR_division</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended">aevalR_extended</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp">AExp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try">AExp.aevalR_first_try</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead">AExp.aevalR_first_try.TooHardToRead</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="module_B"></a><h2>B </h2>
<a href="LF.Imp.html#BreakImp">BreakImp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="module_E"></a><h2>E </h2>
<a href="LF.Poly.html#Exercises">Exercises</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church">Exercises.Church</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="module_M"></a><h2>M </h2>
<a href="LF.Poly.html#MumbleGrumble">MumbleGrumble</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality">MyEquality</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Logic.html#MyIff">MyIff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#MyNot">MyNot</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="module_N"></a><h2>N </h2>
<a href="LF.Lists.html#NatList">NatList</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#NatPlayground">NatPlayground</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2">NatPlayground2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="module_O"></a><h2>O </h2>
<a href="LF.Poly.html#OptionPlayground">OptionPlayground</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="module_P"></a><h2>P </h2>
<a href="LF.Lists.html#PartialMap">PartialMap</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndProp.html#Playground">Playground</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#Props">Props</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.And">Props.And</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex">Props.Ex</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or">Props.Or</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#Pumping">Pumping</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="module_R"></a><h2>R </h2>
<a href="LF.IndProp.html#R">R</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#Repeat">Repeat</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<br/><br/><hr/>
<h1>Library Index</h1>
<a name="library_A"></a><h2>A </h2>
<a href="Auto.html">Auto</a> <br/>
<br/><br/><a name="library_B"></a><h2>B </h2>
<a href="Basics.html">Basics</a> <br/>
<a href="Bib.html">Bib</a> <br/>
<br/><br/><a name="library_E"></a><h2>E </h2>
<a href="Extraction.html">Extraction</a> <br/>
<br/><br/><a name="library_I"></a><h2>I </h2>
<a href="Imp.html">Imp</a> <br/>
<a href="ImpCEvalFun.html">ImpCEvalFun</a> <br/>
<a href="ImpParser.html">ImpParser</a> <br/>
<a href="IndPrinciples.html">IndPrinciples</a> <br/>
<a href="IndProp.html">IndProp</a> <br/>
<a href="Induction.html">Induction</a> <br/>
<br/><br/><a name="library_L"></a><h2>L </h2>
<a href="Lists.html">Lists</a> <br/>
<a href="Logic.html">Logic</a> <br/>
<br/><br/><a name="library_M"></a><h2>M </h2>
<a href="Maps.html">Maps</a> <br/>
<br/><br/><a name="library_P"></a><h2>P </h2>
<a href="Poly.html">Poly</a> <br/>
<a href="Postscript.html">Postscript</a> <br/>
<a href="Preface.html">Preface</a> <br/>
<a href="ProofObjects.html">ProofObjects</a> <br/>
<br/><br/><a name="library_R"></a><h2>R </h2>
<a href="Rel.html">Rel</a> <br/>
<br/><br/><a name="library_T"></a><h2>T </h2>
<a href="Tactics.html">Tactics</a> <br/>
<br/><br/><hr/>
<h1>Lemma Index</h1>
<a name="lemma_A"></a><h2>A </h2>
<a href="LF.Imp.html#AExp.aeval_iff_aevalR">AExp.aeval_iff_aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aeval_iff_aevalR'">AExp.aeval_iff_aevalR'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.beval_iff_bevalR">AExp.beval_iff_bevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.foo">AExp.foo</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.foo'">AExp.foo'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.In10">AExp.In10</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.In10'">AExp.In10'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_b_sound">AExp.optimize_0plus_b_sound</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound">AExp.optimize_0plus_sound</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound'">AExp.optimize_0plus_sound'</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_sound''">AExp.optimize_0plus_sound''</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly1">AExp.silly1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly2">AExp.silly2</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Induction.html#all3_spec">all3_spec</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#All_In">All_In</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#andb3_exchange">andb3_exchange</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative">andb_commutative</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative'">andb_commutative'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_commutative''">andb_commutative''</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb_eq_orb">andb_eq_orb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#andb_false_r">andb_false_r</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#andb_true_elim2">andb_true_elim2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#andb_true_iff">andb_true_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_assoc">and_assoc</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_commut">and_commut</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2">and_example2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2'">and_example2'</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example2''">and_example2''</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example3">and_example3</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_intro">and_intro</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Maps.html#apply_empty">apply_empty</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Logic.html#apply_iff_example">apply_iff_example</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#app_assoc">app_assoc</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#app_exists">app_exists</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#app_length">app_length</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#app_ne">app_ne</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#app_nil_r">app_nil_r</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="lemma_B"></a><h2>B </h2>
<a href="LF.Tactics.html#bool_fn_applied_thrice">bool_fn_applied_thrice</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#BreakImp.break_ignore">BreakImp.break_ignore</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.ceval_deterministic">BreakImp.ceval_deterministic</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_break_true">BreakImp.while_break_true</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_continue">BreakImp.while_continue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.while_stops_on_break">BreakImp.while_stops_on_break</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="lemma_C"></a><h2>C </h2>
<a href="LF.ImpCEvalFun.html#ceval_and_ceval_step_coincide">ceval_and_ceval_step_coincide</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Imp.html#ceval_deterministic">ceval_deterministic</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic">ceval_deterministic</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'">ceval_deterministic'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_deterministic'">ceval_deterministic'</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic''">ceval_deterministic''</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'''">ceval_deterministic'''</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic''''">ceval_deterministic''''</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'''''">ceval_deterministic'''''</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#ceval_deterministic'_alt">ceval_deterministic'_alt</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step_more">ceval_step_more</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step__ceval">ceval_step__ceval</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval__ceval_step">ceval__ceval_step</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.IndProp.html#char_eps_suffix">char_eps_suffix</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#char_nomatch_char">char_nomatch_char</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_elim_even">combine_odd_even_elim_even</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_elim_odd">combine_odd_even_elim_odd</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#combine_odd_even_intro">combine_odd_even_intro</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#combine_split">combine_split</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#contradiction_implies_anything">contradiction_implies_anything</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#contrapositive">contrapositive</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="lemma_D"></a><h2>D </h2>
<a href="LF.IndProp.html#derive_corr">derive_corr</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>1</sub>">discriminate_ex<sub>1</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>2</sub>">discriminate_ex<sub>2</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#dist_exists_or">dist_exists_or</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#dist_not_exists">dist_not_exists</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#double_injective">double_injective</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_FAILED">double_injective_FAILED</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_take2">double_injective_take2</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#double_injective_take2_FAILED">double_injective_take2_FAILED</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#double_neg">double_neg</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#double_plus">double_plus</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<br/><br/><a name="lemma_E"></a><h2>E </h2>
<a href="LF.IndProp.html#empty_is_empty">empty_is_empty</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#empty_matches_eps">empty_matches_eps</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#empty_nomatch_ne">empty_nomatch_ne</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#eqbP">eqbP</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#eqbP_practice">eqbP_practice</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#eqb_eq">eqb_eq</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Lists.html#eqb_id_refl">eqb_id_refl</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Tactics.html#eqb_id_true">eqb_id_true</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#eqb_list_true_iff">eqb_list_true_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#eqb_neq">eqb_neq</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#eqb_refl">eqb_refl</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Maps.html#eqb_stringP">eqb_stringP</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_false_iff">eqb_string_false_iff</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_refl">eqb_string_refl</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#eqb_string_true_iff">eqb_string_true_iff</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Tactics.html#eqb_sym">eqb_sym</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_trans">eqb_trans</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_true">eqb_true</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#eqb_0_l">eqb_0_l</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#evenb_double">evenb_double</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#evenb_double_conv">evenb_double_conv</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#evenb_S">evenb_S</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#even'_ev">even'_ev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even5_nonsense">even5_nonsense</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#even_bool_prop">even_bool_prop</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#evSS_ev">evSS_ev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#evSS_ev">evSS_ev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#evSS_ev'">evSS_ev'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_double">ev_double</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even">ev_even</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even_firsttry">ev_even_firsttry</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_even_iff">ev_even_iff</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#ev_ev'">ev_ev'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#ev_ev__ev">ev_ev__ev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_inversion">ev_inversion</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_minus2">ev_minus2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_plus4">ev_plus4</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4">ev_plus4</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#ev_plus_plus">ev_plus_plus</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_sum">ev_sum</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_4">ev_4</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#ev_4">ev_4</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_4'">ev_4'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#ev_4'">ev_4'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_4''">ev_4''</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_8">ev_8</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Logic.html#excluded_middle_irrefutable">excluded_middle_irrefutable</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#Exercises.curry_uncurry">Exercises.curry_uncurry</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_length_correct">Exercises.fold_length_correct</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.uncurry_curry">Exercises.uncurry_curry</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#existsb_existsb'">existsb_existsb'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#exists_example_2">exists_example_2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#ex_falso_quodlibet">ex_falso_quodlibet</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="lemma_F"></a><h2>F </h2>
<a href="LF.Maps.html#false_eqb_string">false_eqb_string</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Tactics.html#filter_exercise">filter_exercise</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#filter_not_empty_In">filter_not_empty_In</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#filter_not_empty_In'">filter_not_empty_In'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#forallb_true_iff">forallb_true_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#four_is_even">four_is_even</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#f_equal">f_equal</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<br/><br/><a name="lemma_I"></a><h2>I </h2>
<a href="LF.Basics.html#identity_fn_applied_twice">identity_fn_applied_twice</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#iff_refl">iff_refl</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#iff_reflect">iff_reflect</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#iff_sym">iff_sym</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#iff_trans">iff_trans</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#injection_ex<sub>1</sub>">injection_ex<sub>1</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#injection_ex<sub>2</sub>">injection_ex<sub>2</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#inversion_ex<sub>1</sub>">inversion_ex<sub>1</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#inversion_ex<sub>2</sub>">inversion_ex<sub>2</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#In_app_iff">In_app_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_map">In_map</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_map_iff">In_map_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil">in_not_nil</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42">in_not_nil_42</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take2">in_not_nil_42_take2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take3">in_not_nil_42_take3</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take4">in_not_nil_42_take4</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#in_not_nil_42_take5">in_not_nil_42_take5</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#in_re_match">in_re_match</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#in_split">in_split</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="lemma_L"></a><h2>L </h2>
<a href="LF.IndProp.html#leb_complete">leb_complete</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#leb_correct">leb_correct</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#leb_iff">leb_iff</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#leb_refl">leb_refl</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#leb_true_trans">leb_true_trans</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#le_antisym">le_antisym</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Rel.html#le_antisymmetric">le_antisymmetric</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_not_a_partial_function">le_not_a_partial_function</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_not_symmetric">le_not_symmetric</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_order">le_order</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#le_plus_l">le_plus_l</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#le_reflexive">le_reflexive</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_Sn_le">le_Sn_le</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_Sn_n">le_Sn_n</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_step">le_step</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_S_n">le_S_n</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#le_trans">le_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#le_trans">le_trans</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#loop_never_stops">loop_never_stops</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#lt_S">lt_S</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#lt_trans">lt_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#lt_trans'">lt_trans'</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#lt_trans''">lt_trans''</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<br/><br/><a name="lemma_M"></a><h2>M </h2>
<a href="LF.Poly.html#map_rev">map_rev</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#match_eps_refl">match_eps_refl</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#minus_diag">minus_diag</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#MStar'">MStar'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar''">MStar''</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar1">MStar1</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#mult_assoc">mult_assoc</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#mult_comm">mult_comm</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#mult_eq_0">mult_eq_0</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#mult_plus_distr_r">mult_plus_distr_r</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#mult_S_1">mult_S_1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#mult_0">mult_0</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#mult_0_l">mult_0_l</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#mult_0_plus">mult_0_plus</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#mult_0_plus'">mult_0_plus'</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#mult_0_r">mult_0_r</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#mult_0_r'">mult_0_r'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#mult_0_r''">mult_0_r''</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Logic.html#mult_0_3">mult_0_3</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Induction.html#mult_1_l">mult_1_l</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndProp.html#MUnion'">MUnion'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.equality__leibniz_equality">MyEquality.equality__leibniz_equality</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.four">MyEquality.four</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.leibniz_equality__equality">MyEquality.leibniz_equality__equality</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<br/><br/><a name="lemma_N"></a><h2>N </h2>
<a href="LF.Lists.html#NatList.app_assoc">NatList.app_assoc</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_assoc4">NatList.app_assoc4</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_length">NatList.app_length</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app_nil_r">NatList.app_nil_r</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.count_member_nonzero">NatList.count_member_nonzero</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.eqblist_refl">NatList.eqblist_refl</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst_swap_is_snd">NatList.fst_swap_is_snd</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.leb_n_Sn">NatList.leb_n_Sn</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nil_app">NatList.nil_app</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nonzeros_app">NatList.nonzeros_app</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.option_elim_hd">NatList.option_elim_hd</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_does_not_increase_count">NatList.remove_does_not_increase_count</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_app_distr">NatList.rev_app_distr</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_involutive">NatList.rev_involutive</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_length">NatList.rev_length</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev_length_firsttry">NatList.rev_length_firsttry</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd_fst_is_swap">NatList.snd_fst_is_swap</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing">NatList.surjective_pairing</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing'">NatList.surjective_pairing'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.surjective_pairing_stuck">NatList.surjective_pairing_stuck</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.tl_length_pred">NatList.tl_length_pred</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Induction.html#nat_bin_nat">nat_bin_nat</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#negb_involutive">negb_involutive</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Rel.html#next_nat_closure_is_le">next_nat_closure_is_le</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#next_nat_partial_function">next_nat_partial_function</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Logic.html#not_both_true_and_false">not_both_true_and_false</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#not_equiv_false">not_equiv_false</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#not_exists_dist">not_exists_dist</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_False">not_False</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_implies_our_not">not_implies_our_not</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_iff_false">not_true_iff_false</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_is_false">not_true_is_false</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_true_is_false'">not_true_is_false'</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Imp.html#no_whiles_eqv">no_whiles_eqv</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Tactics.html#nth_error_after_last">nth_error_after_last</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#null_matches_none">null_matches_none</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#n_le_m__Sn_le_Sm">n_le_m__Sn_le_Sm</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="lemma_O"></a><h2>O </h2>
<a href="LF.IndProp.html#one_not_even">one_not_even</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#one_not_even'">one_not_even'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#orb_true_iff">orb_true_iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_assoc">or_assoc</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_commut">or_commut</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_distributes_over_and">or_distributes_over_and</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_example">or_example</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#or_intro">or_intro</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#O_le_n">O_le_n</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="lemma_P"></a><h2>P </h2>
<a href="LF.Lists.html#PartialMap.update_eq">PartialMap.update_eq</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.update_neq">PartialMap.update_neq</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndProp.html#pigeonhole_principle">pigeonhole_principle</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>1</sub>">Playground.test_le<sub>1</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>2</sub>">Playground.test_le<sub>2</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.test_le<sub>3</sub>">Playground.test_le<sub>3</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#plus2_spec">plus2_spec</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Induction.html#plus_assoc">plus_assoc</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_assoc'">plus_assoc'</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_assoc'">plus_assoc'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Induction.html#plus_assoc''">plus_assoc''</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_ble_compat_l">plus_ble_compat_l</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_comm">plus_comm</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_comm'">plus_comm'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#plus_comm''">plus_comm''</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Logic.html#plus_comm3">plus_comm3</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_comm3_take2">plus_comm3_take2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_comm3_take3">plus_comm3_take3</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_eqb_example">plus_eqb_example</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#plus_fact_is_true">plus_fact_is_true</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#plus_id_example">plus_id_example</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_id_exercise">plus_id_exercise</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#plus_lt">plus_lt</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Tactics.html#plus_n_n_injective">plus_n_n_injective</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Induction.html#plus_n_O">plus_n_O</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_O_firsttry">plus_n_O_firsttry</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_O_secondtry">plus_n_O_secondtry</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_n_Sm">plus_n_Sm</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.IndPrinciples.html#plus_one_r'">plus_one_r'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#plus_O_n">plus_O_n</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_O_n'">plus_O_n'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#plus_rearrange">plus_rearrange</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_rearrange_firsttry">plus_rearrange_firsttry</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_swap">plus_swap</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#plus_swap'">plus_swap'</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#plus_1_l">plus_1_l</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0">plus_1_neq_0</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0'">plus_1_neq_0'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#plus_1_neq_0_firsttry">plus_1_neq_0_firsttry</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#plus_2_2_is_4">plus_2_2_is_4</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#proj1">proj1</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#proj2">proj2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm">Props.and_comm</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#provable_equiv_true">provable_equiv_true</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.napp_plus">Pumping.napp_plus</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.pumping">Pumping.pumping</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#pup_to_2_ceval">pup_to_2_ceval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="lemma_R"></a><h2>R </h2>
<a href="LF.IndProp.html#reflect_iff">reflect_iff</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#regex_refl">regex_refl</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_of_list_spec">reg_exp_of_list_spec</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval_deterministic">Repeat.ceval_deterministic</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval_deterministic'">Repeat.ceval_deterministic'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Logic.html#restricted_excluded_middle">restricted_excluded_middle</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#restricted_excluded_middle_eq">restricted_excluded_middle_eq</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#rev_app_distr">rev_app_distr</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#rev_exercise1">rev_exercise1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#rev_involutive">rev_involutive</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#re_not_empty_correct">re_not_empty_correct</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#rsc_R">rsc_R</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rsc_trans">rsc_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rtc_rsc_coincide">rtc_rsc_coincide</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#R.R_equiv_fR">R.R_equiv_fR</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="lemma_S"></a><h2>S </h2>
<a href="LF.Tactics.html#sillyfun1_odd">sillyfun1_odd</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun1_odd_FAILED">sillyfun1_odd_FAILED</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun_false">sillyfun_false</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly1">silly1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly2">silly2</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly2a">silly2a</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly3'">silly3'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly3_firsttry">silly3_firsttry</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_ex">silly_ex</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_1">silly_fact_1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2">silly_fact_2</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2'">silly_fact_2'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#silly_fact_2_FAILED">silly_fact_2_FAILED</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#Sn_le_Sm__n_le_m">Sn_le_Sm__n_le_m</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Tactics.html#split_combine">split_combine</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#square_mult">square_mult</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.IndProp.html#SSSSev__even">SSSSev__even</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_app">star_app</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#star_ne">star_ne</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_app">subseq_app</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_refl">subseq_refl</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq_trans">subseq_trans</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#succ_inj">succ_inj</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Imp.html#s_compile_correct">s_compile_correct</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Tactics.html#S_inj">S_inj</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#S_injective">S_injective</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#S_injective'">S_injective'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Induction.html#S_nbeq_0">S_nbeq_0</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<br/><br/><a name="lemma_T"></a><h2>T </h2>
<a href="LF.Tactics.html#trans_eq">trans_eq</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#True_is_true">True_is_true</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#tr_rev_correct">tr_rev_correct</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Maps.html#t_apply_empty">t_apply_empty</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_eq">t_update_eq</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_neq">t_update_neq</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_permute">t_update_permute</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_same">t_update_same</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update_shadow">t_update_shadow</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="lemma_U"></a><h2>U </h2>
<a href="LF.IndProp.html#union_disj">union_disj</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Maps.html#update_eq">update_eq</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_neq">update_neq</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_permute">update_permute</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_same">update_same</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_shadow">update_shadow</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="lemma_Z"></a><h2>Z </h2>
<a href="LF.Basics.html#zero_nbeq_plus_1">zero_nbeq_plus_1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#zero_nbeq_S">zero_nbeq_S</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#zero_not_one">zero_not_one</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#zero_or_succ">zero_or_succ</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><hr/>
<h1>Constructor Index</h1>
<a name="constructor_A"></a><h2>A </h2>
<a href="LF.Basics.html#A">A</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#aevalR_division.ADiv">aevalR_division.ADiv</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.AMinus">aevalR_division.AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.AMult">aevalR_division.AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.ANum">aevalR_division.ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.APlus">aevalR_division.APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_ADiv">aevalR_division.E_ADiv</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_AMinus">aevalR_division.E_AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_AMult">aevalR_division.E_AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_ANum">aevalR_division.E_ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.E_APlus">aevalR_division.E_APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AAny">aevalR_extended.AAny</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AMinus">aevalR_extended.AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.AMult">aevalR_extended.AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.ANum">aevalR_extended.ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.APlus">aevalR_extended.APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_AMinus">aevalR_extended.E_AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_AMult">aevalR_extended.E_AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_ANum">aevalR_extended.E_ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_Any">aevalR_extended.E_Any</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.E_APlus">aevalR_extended.E_APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_AMinus">AExp.aevalR_first_try.E_AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_AMult">AExp.aevalR_first_try.E_AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_ANum">AExp.aevalR_first_try.E_ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.E_APlus">AExp.aevalR_first_try.E_APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_AMinus">AExp.aevalR_first_try.TooHardToRead.E_AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_AMult">AExp.aevalR_first_try.TooHardToRead.E_AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_ANum">AExp.aevalR_first_try.TooHardToRead.E_ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.E_APlus">AExp.aevalR_first_try.TooHardToRead.E_APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.AMinus">AExp.AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.AMult">AExp.AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.ANum">AExp.ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.APlus">AExp.APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BAnd">AExp.BAnd</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BEq">AExp.BEq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BFalse">AExp.BFalse</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BLe">AExp.BLe</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BNot">AExp.BNot</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.BTrue">AExp.BTrue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_AMinus">AExp.E_AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_AMult">AExp.E_AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_ANum">AExp.E_ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.E_APlus">AExp.E_APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AId">AId</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#alpha">alpha</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Imp.html#AMinus">AMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AMult">AMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#ANum">ANum</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#APlus">APlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#App">App</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="constructor_B"></a><h2>B </h2>
<a href="LF.Basics.html#B">B</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BAnd">BAnd</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Lists.html#Baz1">Baz1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#Baz2">Baz2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndPrinciples.html#bempty">bempty</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Imp.html#BEq">BEq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BFalse">BFalse</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#bits">bits</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#black">black</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BLe">BLe</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#bleaf">bleaf</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#blue">blue</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#blue">blue</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#BNot">BNot</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#bool_cons">bool_cons</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#bool_nil">bool_nil</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#BreakImp.CAss">BreakImp.CAss</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CBreak">BreakImp.CBreak</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CIf">BreakImp.CIf</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CSeq">BreakImp.CSeq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CSkip">BreakImp.CSkip</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.CWhile">BreakImp.CWhile</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.E_Skip">BreakImp.E_Skip</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.SBreak">BreakImp.SBreak</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.SContinue">BreakImp.SContinue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BTrue">BTrue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#B<sub>0</sub>">B<sub>0</sub></a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#B<sub>1</sub>">B<sub>1</sub></a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="constructor_C"></a><h2>C </h2>
<a href="LF.Imp.html#CAss">CAss</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#Char">Char</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#CIf">CIf</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#cons">cons</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#cons'">cons'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#CSeq">CSeq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#CSkip">CSkip</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#CWhile">CWhile</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#C<sub>1</sub>">C<sub>1</sub></a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#C<sub>2</sub>">C<sub>2</sub></a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="constructor_D"></a><h2>D </h2>
<a href="LF.ImpParser.html#digit">digit</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<br/><br/><a name="constructor_E"></a><h2>E </h2>
<a href="LF.IndProp.html#EmptySet">EmptySet</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#EmptyStr">EmptyStr</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_sum">even'_sum</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_0">even'_0</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'_2">even'_2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_SS">ev_SS</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ev_0">ev_0</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#E_Ass">E_Ass</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_IfFalse">E_IfFalse</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_IfTrue">E_IfTrue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_Seq">E_Seq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_Skip">E_Skip</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_WhileFalse">E_WhileFalse</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#E_WhileTrue">E_WhileTrue</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="constructor_F"></a><h2>F </h2>
<a href="LF.Basics.html#false">false</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#friday">friday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="constructor_G"></a><h2>G </h2>
<a href="LF.IndPrinciples.html#green">green</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#green">green</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="constructor_I"></a><h2>I </h2>
<a href="LF.Lists.html#Id">Id</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<br/><br/><a name="constructor_L"></a><h2>L </h2>
<a href="LF.IndPrinciples.html#leaf">leaf</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#le_n">le_n</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#le_S">le_S</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="constructor_M"></a><h2>M </h2>
<a href="LF.IndProp.html#MApp">MApp</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MChar">MChar</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MEmpty">MEmpty</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#monday">monday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#MStarApp">MStarApp</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MStar0">MStar0</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.a">MumbleGrumble.a</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.b">MumbleGrumble.b</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.c">MumbleGrumble.c</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.d">MumbleGrumble.d</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.e">MumbleGrumble.e</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#MUnionL">MUnionL</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#MUnionR">MUnionR</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.eq_refl">MyEquality.eq_refl</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<br/><br/><a name="constructor_N"></a><h2>N </h2>
<a href="LF.Lists.html#NatList.cons">NatList.cons</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nil">NatList.nil</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.None">NatList.None</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.pair">NatList.pair</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.Some">NatList.Some</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#NatPlayground.O">NatPlayground.O</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.S">NatPlayground.S</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.stop">NatPlayground.stop</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.tick">NatPlayground.tick</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#nbranch">nbranch</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#ncons">ncons</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#ne_1">ne_1</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ne_2">ne_2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#nil">nil</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#nil'">nil'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#nn">nn</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#nnil">nnil</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#nnil1">nnil1</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#no">no</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#node">node</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.ImpParser.html#NoneE">NoneE</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndPrinciples.html#nsnoc1">nsnoc1</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="constructor_O"></a><h2>O </h2>
<a href="LF.Poly.html#OptionPlayground.None">OptionPlayground.None</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#OptionPlayground.Some">OptionPlayground.Some</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#other">other</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<br/><br/><a name="constructor_P"></a><h2>P </h2>
<a href="LF.Poly.html#pair">pair</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Lists.html#PartialMap.empty">PartialMap.empty</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.record">PartialMap.record</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndProp.html#Playground.le_n">Playground.le_n</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Playground.le_S">Playground.le_S</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#primary">primary</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ProofObjects.html#Props.And.conj">Props.And.conj</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex.ex_intro">Props.Ex.ex_intro</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.I">Props.I</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or_introl">Props.Or.or_introl</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or_intror">Props.Or.or_intror</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<br/><br/><a name="constructor_R"></a><h2>R </h2>
<a href="LF.Basics.html#red">red</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#red">red</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#ReflectF">ReflectF</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#ReflectT">ReflectT</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#Repeat.CAss">Repeat.CAss</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CIf">Repeat.CIf</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CRepeat">Repeat.CRepeat</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CSeq">Repeat.CSeq</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CSkip">Repeat.CSkip</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.CWhile">Repeat.CWhile</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Ass">Repeat.E_Ass</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_IfFalse">Repeat.E_IfFalse</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_IfTrue">Repeat.E_IfTrue</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_RepeatEnd">Repeat.E_RepeatEnd</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_RepeatLoop">Repeat.E_RepeatLoop</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Seq">Repeat.E_Seq</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_Skip">Repeat.E_Skip</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_WhileFalse">Repeat.E_WhileFalse</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.E_WhileTrue">Repeat.E_WhileTrue</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Rel.html#rt1n_refl">rt1n_refl</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt1n_trans">rt1n_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_refl">rt_refl</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_step">rt_step</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#rt_trans">rt_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#R.c1">R.c1</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c2">R.c2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c3">R.c3</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c4">R.c4</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.c5">R.c5</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="constructor_S"></a><h2>S </h2>
<a href="LF.Basics.html#saturday">saturday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#SLoad">SLoad</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SMinus">SMinus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SMult">SMult</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#SomeE">SomeE</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Imp.html#SPlus">SPlus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#SPush">SPush</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#sq">sq</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Star">Star</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#sunday">sunday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="constructor_T"></a><h2>T </h2>
<a href="LF.Basics.html#thursday">thursday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#true">true</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#tuesday">tuesday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="constructor_U"></a><h2>U </h2>
<a href="LF.IndProp.html#Union">Union</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="constructor_W"></a><h2>W </h2>
<a href="LF.Basics.html#wednesday">wednesday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#white">white</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#white">white</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#wrong_ev_SS">wrong_ev_SS</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#wrong_ev_0">wrong_ev_0</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="constructor_Y"></a><h2>Y </h2>
<a href="LF.IndPrinciples.html#yes">yes</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="constructor_Z"></a><h2>Z </h2>
<a href="LF.Basics.html#Z">Z</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><hr/>
<h1>Axiom Index</h1>
<a name="axiom_F"></a><h2>F </h2>
<a href="LF.Logic.html#functional_extensionality">functional_extensionality</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><hr/>
<h1>Inductive Index</h1>
<a name="inductive_A"></a><h2>A </h2>
<a href="LF.Imp.html#aevalR_division.aevalR">aevalR_division.aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_division.aexp">aevalR_division.aexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.aevalR">aevalR_extended.aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aevalR_extended.aexp">aevalR_extended.aexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aexp">aexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR">AExp.aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.aevalR">AExp.aevalR_first_try.aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aevalR_first_try.TooHardToRead.aevalR">AExp.aevalR_first_try.TooHardToRead.aevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aexp">AExp.aexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.bevalR">AExp.bevalR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.bexp">AExp.bexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="inductive_B"></a><h2>B </h2>
<a href="LF.Lists.html#baz">baz</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Imp.html#bexp">bexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#bin">bin</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#bit">bit</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#bool">bool</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#boollist">boollist</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Imp.html#BreakImp.ceval">BreakImp.ceval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.com">BreakImp.com</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#BreakImp.result">BreakImp.result</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#byntree">byntree</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="inductive_C"></a><h2>C </h2>
<a href="LF.Imp.html#ceval">ceval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#chartype">chartype</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Rel.html#clos_refl_trans">clos_refl_trans</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Rel.html#clos_refl_trans_1n">clos_refl_trans_1n</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Basics.html#color">color</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#com">com</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="inductive_D"></a><h2>D </h2>
<a href="LF.Basics.html#day">day</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="inductive_E"></a><h2>E </h2>
<a href="LF.IndProp.html#even">even</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#even'">even'</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#exp_match">exp_match</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndPrinciples.html#ExSet">ExSet</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="inductive_F"></a><h2>F </h2>
<a href="LF.IndPrinciples.html#foo'">foo'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="inductive_I"></a><h2>I </h2>
<a href="LF.Lists.html#id">id</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<br/><br/><a name="inductive_L"></a><h2>L </h2>
<a href="LF.IndPrinciples.html#le">le</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Poly.html#list">list</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list'">list'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="inductive_M"></a><h2>M </h2>
<a href="LF.Poly.html#MumbleGrumble.grumble">MumbleGrumble.grumble</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#MumbleGrumble.mumble">MumbleGrumble.mumble</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.eq">MyEquality.eq</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<br/><br/><a name="inductive_N"></a><h2>N </h2>
<a href="LF.IndPrinciples.html#natlist">natlist</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Lists.html#NatList.natlist">NatList.natlist</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.natoption">NatList.natoption</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.natprod">NatList.natprod</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndPrinciples.html#natlist1">natlist1</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.Basics.html#NatPlayground.nat">NatPlayground.nat</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground.nat'">NatPlayground.nat'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#next_even">next_even</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#next_nat">next_nat</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#nostutter">nostutter</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#no_whilesR">no_whilesR</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#nybble">nybble</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="inductive_O"></a><h2>O </h2>
<a href="LF.ImpParser.html#optionE">optionE</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#OptionPlayground.option">OptionPlayground.option</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="inductive_P"></a><h2>P </h2>
<a href="LF.Lists.html#PartialMap.partial_map">PartialMap.partial_map</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.IndProp.html#Playground.le">Playground.le</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#prod">prod</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ProofObjects.html#Props.And.and">Props.And.and</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Ex.ex">Props.Ex.ex</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.False">Props.False</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.Or.or">Props.Or.or</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.True">Props.True</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<br/><br/><a name="inductive_R"></a><h2>R </h2>
<a href="LF.IndProp.html#reflect">reflect</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp">reg_exp</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#repeats">repeats</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#Repeat.ceval">Repeat.ceval</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#Repeat.com">Repeat.com</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Basics.html#rgb">rgb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndPrinciples.html#rgb">rgb</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndProp.html#R.R">R.R</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="inductive_S"></a><h2>S </h2>
<a href="LF.Imp.html#sinstr">sinstr</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#square_of">square_of</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#subseq">subseq</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="inductive_T"></a><h2>T </h2>
<a href="LF.IndPrinciples.html#tree">tree</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="inductive_W"></a><h2>W </h2>
<a href="LF.IndProp.html#wrong_ev">wrong_ev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="inductive_Y"></a><h2>Y </h2>
<a href="LF.IndPrinciples.html#yesno">yesno</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><hr/>
<h1>Definition Index</h1>
<a name="definition_A"></a><h2>A </h2>
<a href="LF.ProofObjects.html#add1">add1</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Imp.html#aeval">aeval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.aeval">AExp.aeval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.beval">AExp.beval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.manual_grade_for_beval_rules">AExp.manual_grade_for_beval_rules</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus">AExp.optimize_0plus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.optimize_0plus_b">AExp.optimize_0plus_b</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.silly_presburger_example">AExp.silly_presburger_example</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.test_aeval1">AExp.test_aeval1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#AExp.test_optimize_0plus">AExp.test_optimize_0plus</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#aexp1">aexp1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Logic.html#All">All</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#all_zero">all_zero</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb">andb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#andb3">andb3</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#and_example">and_example</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_example'">and_example'</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#and_exercise">and_exercise</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Rel.html#antisymmetric">antisymmetric</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Poly.html#app">app</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Auto.html#auto_example_1">auto_example_1</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_1'">auto_example_1'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_2">auto_example_2</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_3">auto_example_3</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_4">auto_example_4</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_6">auto_example_6</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_6'">auto_example_6'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_7">auto_example_7</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#auto_example_7'">auto_example_7'</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<br/><br/><a name="definition_B"></a><h2>B </h2>
<a href="LF.Tactics.html#bar">bar</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#beval">beval</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#bexp1">bexp1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#bignumber">bignumber</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#bin_to_nat">bin_to_nat</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#bool_to_bexp">bool_to_bexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="definition_C"></a><h2>C </h2>
<a href="LF.IndProp.html#c">c</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Auto.html#ceval'_example1">ceval'_example1</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Imp.html#ceval_example1">ceval_example1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Auto.html#ceval_example1">ceval_example1</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Imp.html#ceval_example2">ceval_example2</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#ceval_fun_no_while">ceval_fun_no_while</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step">ceval_step</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step1">ceval_step1</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step2">ceval_step2</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpCEvalFun.html#ceval_step3">ceval_step3</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.ImpParser.html#classifyChar">classifyChar</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#combine">combine</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#combine_odd_even">combine_odd_even</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#constfun">constfun</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#constfun_example1">constfun_example1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#constfun_example2">constfun_example2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#count">count</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#countoddmembers'">countoddmembers'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="definition_D"></a><h2>D </h2>
<a href="LF.IndProp.html#d">d</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#derive">derive</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#derives">derives</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#de_morgan_not_and_not">de_morgan_not_and_not</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#discriminate_ex<sub>3</sub>">discriminate_ex<sub>3</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#doit3times">doit3times</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Induction.html#double">double</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#double_negation_elimination">double_negation_elimination</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="definition_E"></a><h2>E </h2>
<a href="LF.Auto.html#eauto_example">eauto_example</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.ImpParser.html#eg<sub>1</sub>">eg<sub>1</sub></a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#eg<sub>2</sub>">eg<sub>2</sub></a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#empty">empty</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Imp.html#empty_st">empty_st</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Basics.html#eqb">eqb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Lists.html#eqb_id">eqb_id</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Logic.html#eqb_list">eqb_list</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Maps.html#eqb_string">eqb_string</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Rel.html#equivalence">equivalence</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Basics.html#evenb">evenb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#even_1000">even_1000</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_1000'">even_1000'</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_1000''">even_1000''</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_42_bool">even_42_bool</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#even_42_prop">even_42_prop</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2">ev_plus2</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2'">ev_plus2'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus2''">ev_plus2''</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4'">ev_plus4'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_plus4''">ev_plus4''</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_4'''">ev_4'''</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#ev_8'">ev_8'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Maps.html#examplemap">examplemap</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#examplemap'">examplemap'</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#examplepmap">examplepmap</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Imp.html#example_aexp">example_aexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#example_bexp">example_bexp</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Maps.html#example_empty">example_empty</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Logic.html#excluded_middle">excluded_middle</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.cnat">Exercises.Church.cnat</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp">Exercises.Church.exp</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_1">Exercises.Church.exp_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_2">Exercises.Church.exp_2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.exp_3">Exercises.Church.exp_3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult">Exercises.Church.mult</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_1">Exercises.Church.mult_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_2">Exercises.Church.mult_2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.mult_3">Exercises.Church.mult_3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.one">Exercises.Church.one</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus">Exercises.Church.plus</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_1">Exercises.Church.plus_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_2">Exercises.Church.plus_2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.plus_3">Exercises.Church.plus_3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ">Exercises.Church.succ</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_1">Exercises.Church.succ_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_2">Exercises.Church.succ_2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.succ_3">Exercises.Church.succ_3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.three">Exercises.Church.three</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.two">Exercises.Church.two</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.Church.zero">Exercises.Church.zero</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_length">Exercises.fold_length</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.fold_map">Exercises.fold_map</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.manual_grade_for_fold_map">Exercises.manual_grade_for_fold_map</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.manual_grade_for_informal_proof">Exercises.manual_grade_for_informal_proof</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.prod_curry">Exercises.prod_curry</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.prod_uncurry">Exercises.prod_uncurry</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.test_fold_length1">Exercises.test_fold_length1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#Exercises.test_map1'">Exercises.test_map1'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#existsb">existsb</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#existsb'">existsb'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Basics.html#exp">exp</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#expect">expect</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<br/><br/><a name="definition_F"></a><h2>F </h2>
<a href="LF.Basics.html#factorial">factorial</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#fact_in_coq">fact_in_coq</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#filter">filter</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#filter_even_gt<sub>7</sub>">filter_even_gt<sub>7</sub></a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#firstExpect">firstExpect</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#flat_map">flat_map</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold">fold</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example1">fold_example1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example2">fold_example2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#fold_example3">fold_example3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#foo">foo</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#forallb">forallb</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#forallb">forallb</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#fst">fst</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#ftrue">ftrue</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>1</sub>">function_equality_ex<sub>1</sub></a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>2</sub>">function_equality_ex<sub>2</sub></a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#function_equality_ex<sub>2</sub>">function_equality_ex<sub>2</sub></a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="definition_H"></a><h2>H </h2>
<a href="LF.Poly.html#hd_error">hd_error</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="definition_I"></a><h2>I </h2>
<a href="LF.Logic.html#implies_to_or">implies_to_or</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In">In</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#incr">incr</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Tactics.html#injection_ex<sub>3</sub>">injection_ex<sub>3</sub></a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#injective">injective</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_example_1">In_example_1</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#In_example_2">In_example_2</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.ImpParser.html#isAlpha">isAlpha</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#isDigit">isDigit</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#isLowerAlpha">isLowerAlpha</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#isred">isred</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ImpParser.html#isWhite">isWhite</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.IndProp.html#is_der">is_der</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Logic.html#is_even_prime">is_even_prime</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Auto.html#is_fortytwo">is_fortytwo</a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Logic.html#is_three">is_three</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="definition_L"></a><h2>L </h2>
<a href="LF.Basics.html#leb">leb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#lemma_application_ex">lemma_application_ex</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#length">length</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#length_is_1">length_is_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123">list123</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123'">list123'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123''">list123''</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#list123'''">list123'''</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#list_of_string">list_of_string</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Imp.html#loop">loop</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#lt">lt</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#ltb">ltb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<br/><br/><a name="definition_M"></a><h2>M </h2>
<a href="LF.Lists.html#manual_grade_for_baz_num_elts">manual_grade_for_baz_num_elts</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#manual_grade_for_binary">manual_grade_for_binary</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_commute">manual_grade_for_binary_commute</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_a">manual_grade_for_binary_inverse_a</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_b">manual_grade_for_binary_inverse_b</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_binary_inverse_c">manual_grade_for_binary_inverse_c</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.ImpCEvalFun.html#manual_grade_for_ceval_step__ceval_inf">manual_grade_for_ceval_step__ceval_inf</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_check_repeats">manual_grade_for_check_repeats</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_destruct_induction">manual_grade_for_destruct_induction</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Logic.html#manual_grade_for_double_neg_inf">manual_grade_for_double_neg_inf</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_filter_challenge">manual_grade_for_filter_challenge</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#manual_grade_for_fold_types_different">manual_grade_for_fold_types_different</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#manual_grade_for_informal_not_PNP">manual_grade_for_informal_not_PNP</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Tactics.html#manual_grade_for_informal_proof">manual_grade_for_informal_proof</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#manual_grade_for_mumble_grumble">manual_grade_for_mumble_grumble</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#manual_grade_for_negation_fn_applied_twice">manual_grade_for_negation_fn_applied_twice</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_NoDup_disjoint_etc">manual_grade_for_NoDup_disjoint_etc</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_nostutter">manual_grade_for_nostutter</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Imp.html#manual_grade_for_no_whiles_terminating">manual_grade_for_no_whiles_terminating</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#manual_grade_for_pal_pal_app_rev_pal_rev">manual_grade_for_pal_pal_app_rev_pal_rev</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Induction.html#manual_grade_for_plus_comm_informal">manual_grade_for_plus_comm_informal</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Tactics.html#manual_grade_for_split_combine">manual_grade_for_split_combine</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#manual_grade_for_XtimesYinZ_spec">manual_grade_for_XtimesYinZ_spec</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.ImpParser.html#many">many</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#many_helper">many_helper</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Poly.html#map">map</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#matches_regex">matches_regex</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#match_eps">match_eps</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Basics.html#minustwo">minustwo</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#monochrome">monochrome</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.four'">MyEquality.four'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#MyEquality.singleton">MyEquality.singleton</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.Logic.html#MyIff.iff">MyIff.iff</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Poly.html#mynil">mynil</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#mynil">mynil</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#mynil'">mynil'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#MyNot.not">MyNot.not</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<br/><br/><a name="definition_N"></a><h2>N </h2>
<a href="LF.Basics.html#nandb">nandb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Lists.html#NatList.add">NatList.add</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.alternate">NatList.alternate</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.app">NatList.app</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.bag">NatList.bag</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.count">NatList.count</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.countoddmembers">NatList.countoddmembers</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.eqblist">NatList.eqblist</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst">NatList.fst</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.fst'">NatList.fst'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.hd">NatList.hd</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.hd_error">NatList.hd_error</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.length">NatList.length</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.manual_grade_for_bag_theorem">NatList.manual_grade_for_bag_theorem</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.manual_grade_for_rev_injective">NatList.manual_grade_for_rev_injective</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.member">NatList.member</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist">NatList.mylist</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist1">NatList.mylist1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist2">NatList.mylist2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.mylist3">NatList.mylist3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nonzeros">NatList.nonzeros</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_bad">NatList.nth_bad</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_error">NatList.nth_error</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.nth_error'">NatList.nth_error'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.oddmembers">NatList.oddmembers</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.option_elim">NatList.option_elim</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_all">NatList.remove_all</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.remove_one">NatList.remove_one</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.repeat">NatList.repeat</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.rev">NatList.rev</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd">NatList.snd</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.snd'">NatList.snd'</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.subset">NatList.subset</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.sum">NatList.sum</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.swap_pair">NatList.swap_pair</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_add1">NatList.test_add1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_add2">NatList.test_add2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate1">NatList.test_alternate1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate2">NatList.test_alternate2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate3">NatList.test_alternate3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_alternate4">NatList.test_alternate4</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app1">NatList.test_app1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app2">NatList.test_app2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_app3">NatList.test_app3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers1">NatList.test_countoddmembers1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers2">NatList.test_countoddmembers2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_countoddmembers3">NatList.test_countoddmembers3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_count1">NatList.test_count1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_count2">NatList.test_count2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist1">NatList.test_eqblist1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist2">NatList.test_eqblist2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_eqblist3">NatList.test_eqblist3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd<sub>1</sub>">NatList.test_hd<sub>1</sub></a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd<sub>2</sub>">NatList.test_hd<sub>2</sub></a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error1">NatList.test_hd_error1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error2">NatList.test_hd_error2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_hd_error3">NatList.test_hd_error3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_member1">NatList.test_member1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_member2">NatList.test_member2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nonzeros">NatList.test_nonzeros</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error1">NatList.test_nth_error1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error2">NatList.test_nth_error2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_nth_error3">NatList.test_nth_error3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_oddmembers">NatList.test_oddmembers</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all1">NatList.test_remove_all1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all2">NatList.test_remove_all2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all3">NatList.test_remove_all3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_all4">NatList.test_remove_all4</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one1">NatList.test_remove_one1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one2">NatList.test_remove_one2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one3">NatList.test_remove_one3</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_remove_one4">NatList.test_remove_one4</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_rev1">NatList.test_rev1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_rev2">NatList.test_rev2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_subset1">NatList.test_subset1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_subset2">NatList.test_subset2</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_sum1">NatList.test_sum1</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.test_tl">NatList.test_tl</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#NatList.tl">NatList.tl</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Basics.html#NatPlayground.pred">NatPlayground.pred</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.minus">NatPlayground2.minus</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.mult">NatPlayground2.mult</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.plus">NatPlayground2.plus</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#NatPlayground2.test_mult1">NatPlayground2.test_mult1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Induction.html#nat_to_bin">nat_to_bin</a> [in <a href="LF.Induction.html">LF.Induction</a>]<br/>
<a href="LF.Basics.html#negb">negb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#next_weekday">next_weekday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Logic.html#not_even_1001">not_even_1001</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Logic.html#not_even_1001'">not_even_1001'</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Imp.html#no_whiles">no_whiles</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#nth_error">nth_error</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<br/><br/><a name="definition_O"></a><h2>O </h2>
<a href="LF.Basics.html#oddb">oddb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#option_map">option_map</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#orb">orb</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Rel.html#order">order</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<br/><br/><a name="definition_P"></a><h2>P </h2>
<a href="LF.ImpParser.html#parse">parse</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseAExp">parseAExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseAtomicExp">parseAtomicExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseBExp">parseBExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseConjunctionExp">parseConjunctionExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseIdentifier">parseIdentifier</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseNumber">parseNumber</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parsePrimaryExp">parsePrimaryExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseProductExp">parseProductExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parser">parser</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSequencedCommand">parseSequencedCommand</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSimpleCommand">parseSimpleCommand</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#parseSumExp">parseSumExp</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Lists.html#PartialMap.find">PartialMap.find</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Lists.html#PartialMap.update">PartialMap.update</a> [in <a href="LF.Lists.html">LF.Lists</a>]<br/>
<a href="LF.Rel.html#partial_function">partial_function</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Maps.html#partial_map">partial_map</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Poly.html#partition">partition</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#peirce">peirce</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Basics.html#plus'">plus'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Imp.html#plus2">plus2</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Poly.html#plus3">plus3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#plus_fact">plus_fact</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Rel.html#preorder">preorder</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm'">Props.and_comm'</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.and_comm'_aux">Props.and_comm'_aux</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.conj_fact">Props.conj_fact</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.ex_ev_Sn">Props.ex_ev_Sn</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.or_comm">Props.or_comm</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.ProofObjects.html#Props.some_nat_is_even">Props.some_nat_is_even</a> [in <a href="LF.ProofObjects.html">LF.ProofObjects</a>]<br/>
<a href="LF.IndProp.html#Pumping.napp">Pumping.napp</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#Pumping.pumping_constant">Pumping.pumping_constant</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpCEvalFun.html#pup_to_n">pup_to_n</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Imp.html#pup_to_n">pup_to_n</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndPrinciples.html#P_m0r">P_m0r</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<a href="LF.IndPrinciples.html#P_m0r'">P_m0r'</a> [in <a href="LF.IndPrinciples.html">LF.IndPrinciples</a>]<br/>
<br/><br/><a name="definition_R"></a><h2>R </h2>
<a href="LF.Rel.html#reflexive">reflexive</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.IndProp.html#refl_matches_eps">refl_matches_eps</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#regex_match">regex_match</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>1</sub>">reg_exp_ex<sub>1</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>2</sub>">reg_exp_ex<sub>2</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>3</sub>">reg_exp_ex<sub>3</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_ex<sub>4</sub>">reg_exp_ex<sub>4</sub></a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#reg_exp_of_list">reg_exp_of_list</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Rel.html#relation">relation</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Poly.html#repeat">repeat</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#repeat'">repeat'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#repeat''">repeat''</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#repeat'''">repeat'''</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#rev">rev</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Logic.html#rev_append">rev_append</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.IndProp.html#re_chars">re_chars</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#re_not_empty">re_not_empty</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.fR">R.fR</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#R.manual_grade_for_R_provability">R.manual_grade_for_R_provability</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<br/><br/><a name="definition_S"></a><h2>S </h2>
<a href="LF.Tactics.html#sillyfun">sillyfun</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#sillyfun1">sillyfun1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#snd">snd</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#split">split</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#split">split</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#split_combine_statement">split_combine_statement</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#square">square</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Imp.html#state">state</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.IndProp.html#string">string</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.ImpParser.html#string_of_list">string_of_list</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Auto.html#st<sub>12</sub>">st<sub>12</sub></a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Auto.html#st<sub>21</sub>">st<sub>21</sub></a> [in <a href="LF.Auto.html">LF.Auto</a>]<br/>
<a href="LF.Imp.html#subtract_slowly">subtract_slowly</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#subtract_slowly_body">subtract_slowly_body</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#subtract_3_from_5_slowly">subtract_3_from_5_slowly</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Rel.html#symmetric">symmetric</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Imp.html#s_compile">s_compile</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_compile1">s_compile1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute">s_execute</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute1">s_execute1</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#s_execute2">s_execute2</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="definition_T"></a><h2>T </h2>
<a href="LF.ImpParser.html#testParsing">testParsing</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Basics.html#test_andb31">test_andb31</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb32">test_andb32</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb33">test_andb33</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_andb34">test_andb34</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_anon_fun'">test_anon_fun'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpCEvalFun.html#test_ceval">test_ceval</a> [in <a href="LF.ImpCEvalFun.html">LF.ImpCEvalFun</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'1">test_countoddmembers'1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'2">test_countoddmembers'2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_countoddmembers'3">test_countoddmembers'3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.IndProp.html#test_der0">test_der0</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der1">test_der1</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der2">test_der2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der3">test_der3</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der4">test_der4</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der5">test_der5</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der6">test_der6</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_der7">test_der7</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#test_doit3times">test_doit3times</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_doit3times'">test_doit3times'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#test_existsb_1">test_existsb_1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_2">test_existsb_2</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_3">test_existsb_3</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_existsb_4">test_existsb_4</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Basics.html#test_factorial1">test_factorial1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_factorial2">test_factorial2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_filter1">test_filter1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter2">test_filter2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter2'">test_filter2'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter_even_gt7_1">test_filter_even_gt7_1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_filter_even_gt7_2">test_filter_even_gt7_2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_flat_map1">test_flat_map1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Tactics.html#test_forallb_1">test_forallb_1</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_2">test_forallb_2</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_3">test_forallb_3</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#test_forallb_4">test_forallb_4</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Poly.html#test_hd_error1">test_hd_error1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_hd_error2">test_hd_error2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_leb1">test_leb1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb2">test_leb2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb3">test_leb3</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_leb3'">test_leb3'</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_length1">test_length1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_ltb1">test_ltb1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_ltb2">test_ltb2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_ltb3">test_ltb3</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_map1">test_map1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_map2">test_map2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_map3">test_map3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_nandb1">test_nandb1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb2">test_nandb2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb3">test_nandb3</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_nandb4">test_nandb4</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_next_weekday">test_next_weekday</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_1">test_nostutter_1</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_2">test_nostutter_2</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_3">test_nostutter_3</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.IndProp.html#test_nostutter_4">test_nostutter_4</a> [in <a href="LF.IndProp.html">LF.IndProp</a>]<br/>
<a href="LF.Poly.html#test_nth_error1">test_nth_error1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_nth_error2">test_nth_error2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_nth_error3">test_nth_error3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Basics.html#test_oddb1">test_oddb1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_oddb2">test_oddb2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb1">test_orb1</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb2">test_orb2</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb3">test_orb3</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb4">test_orb4</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Basics.html#test_orb5">test_orb5</a> [in <a href="LF.Basics.html">LF.Basics</a>]<br/>
<a href="LF.Poly.html#test_partition1">test_partition1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_partition2">test_partition2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3">test_plus3</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3'">test_plus3'</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_plus3''">test_plus3''</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_repeat1">test_repeat1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_repeat2">test_repeat2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_rev1">test_rev1</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_rev2">test_rev2</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.Poly.html#test_split">test_split</a> [in <a href="LF.Poly.html">LF.Poly</a>]<br/>
<a href="LF.ImpParser.html#token">token</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize">tokenize</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize_ex<sub>1</sub>">tokenize_ex<sub>1</sub></a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.ImpParser.html#tokenize_helper">tokenize_helper</a> [in <a href="LF.ImpParser.html">LF.ImpParser</a>]<br/>
<a href="LF.Maps.html#total_map">total_map</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Rel.html#transitive">transitive</a> [in <a href="LF.Rel.html">LF.Rel</a>]<br/>
<a href="LF.Tactics.html#trans_eq_example">trans_eq_example</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#trans_eq_example'">trans_eq_example'</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Tactics.html#trans_eq_exercise">trans_eq_exercise</a> [in <a href="LF.Tactics.html">LF.Tactics</a>]<br/>
<a href="LF.Logic.html#tr_rev">tr_rev</a> [in <a href="LF.Logic.html">LF.Logic</a>]<br/>
<a href="LF.Maps.html#t_empty">t_empty</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#t_update">t_update</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="definition_U"></a><h2>U </h2>
<a href="LF.Maps.html#update">update</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example1">update_example1</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example2">update_example2</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example3">update_example3</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<a href="LF.Maps.html#update_example4">update_example4</a> [in <a href="LF.Maps.html">LF.Maps</a>]<br/>
<br/><br/><a name="definition_W"></a><h2>W </h2>
<a href="LF.Imp.html#W">W</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="definition_X"></a><h2>X </h2>
<a href="LF.Imp.html#X">X</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<a href="LF.Imp.html#XtimesYinZ">XtimesYinZ</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="definition_Y"></a><h2>Y </h2>
<a href="LF.Imp.html#Y">Y</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><a name="definition_Z"></a><h2>Z </h2>
<a href="LF.Imp.html#Z">Z</a> [in <a href="LF.Imp.html">LF.Imp</a>]<br/>
<br/><br/><hr/><table>
<tr>
<td>Global Index</td>
<td><a href="coqindex.html#global_A">A</a></td>
<td><a href="coqindex.html#global_B">B</a></td>
<td><a href="coqindex.html#global_C">C</a></td>
<td><a href="coqindex.html#global_D">D</a></td>
<td><a href="coqindex.html#global_E">E</a></td>
<td><a href="coqindex.html#global_F">F</a></td>
<td><a href="coqindex.html#global_G">G</a></td>
<td><a href="coqindex.html#global_H">H</a></td>
<td><a href="coqindex.html#global_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#global_L">L</a></td>
<td><a href="coqindex.html#global_M">M</a></td>
<td><a href="coqindex.html#global_N">N</a></td>
<td><a href="coqindex.html#global_O">O</a></td>
<td><a href="coqindex.html#global_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#global_R">R</a></td>
<td><a href="coqindex.html#global_S">S</a></td>
<td><a href="coqindex.html#global_T">T</a></td>
<td><a href="coqindex.html#global_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#global_W">W</a></td>
<td><a href="coqindex.html#global_X">X</a></td>
<td><a href="coqindex.html#global_Y">Y</a></td>
<td><a href="coqindex.html#global_Z">Z</a></td>
<td><a href="coqindex.html#global_:">:</a></td>
<td>_</td>
<td>(1238 entries)</td>
</tr>
<tr>
<td>Notation Index</td>
<td><a href="coqindex.html#notation_A">A</a></td>
<td><a href="coqindex.html#notation_B">B</a></td>
<td>C</td>
<td>D</td>
<td>E</td>
<td>F</td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td><a href="coqindex.html#notation_M">M</a></td>
<td><a href="coqindex.html#notation_N">N</a></td>
<td>O</td>
<td><a href="coqindex.html#notation_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#notation_R">R</a></td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td><a href="coqindex.html#notation_:">:</a></td>
<td>_</td>
<td>(68 entries)</td>
</tr>
<tr>
<td>Module Index</td>
<td><a href="coqindex.html#module_A">A</a></td>
<td><a href="coqindex.html#module_B">B</a></td>
<td>C</td>
<td>D</td>
<td><a href="coqindex.html#module_E">E</a></td>
<td>F</td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td><a href="coqindex.html#module_M">M</a></td>
<td><a href="coqindex.html#module_N">N</a></td>
<td><a href="coqindex.html#module_O">O</a></td>
<td><a href="coqindex.html#module_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#module_R">R</a></td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(25 entries)</td>
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<tr>
<td>Library Index</td>
<td><a href="coqindex.html#library_A">A</a></td>
<td><a href="coqindex.html#library_B">B</a></td>
<td>C</td>
<td>D</td>
<td><a href="coqindex.html#library_E">E</a></td>
<td>F</td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#library_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#library_L">L</a></td>
<td><a href="coqindex.html#library_M">M</a></td>
<td>N</td>
<td>O</td>
<td><a href="coqindex.html#library_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#library_R">R</a></td>
<td>S</td>
<td><a href="coqindex.html#library_T">T</a></td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(19 entries)</td>
</tr>
<tr>
<td>Lemma Index</td>
<td><a href="coqindex.html#lemma_A">A</a></td>
<td><a href="coqindex.html#lemma_B">B</a></td>
<td><a href="coqindex.html#lemma_C">C</a></td>
<td><a href="coqindex.html#lemma_D">D</a></td>
<td><a href="coqindex.html#lemma_E">E</a></td>
<td><a href="coqindex.html#lemma_F">F</a></td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#lemma_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#lemma_L">L</a></td>
<td><a href="coqindex.html#lemma_M">M</a></td>
<td><a href="coqindex.html#lemma_N">N</a></td>
<td><a href="coqindex.html#lemma_O">O</a></td>
<td><a href="coqindex.html#lemma_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#lemma_R">R</a></td>
<td><a href="coqindex.html#lemma_S">S</a></td>
<td><a href="coqindex.html#lemma_T">T</a></td>
<td><a href="coqindex.html#lemma_U">U</a></td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td><a href="coqindex.html#lemma_Z">Z</a></td>
<td>_</td>
<td>(359 entries)</td>
</tr>
<tr>
<td>Constructor Index</td>
<td><a href="coqindex.html#constructor_A">A</a></td>
<td><a href="coqindex.html#constructor_B">B</a></td>
<td><a href="coqindex.html#constructor_C">C</a></td>
<td><a href="coqindex.html#constructor_D">D</a></td>
<td><a href="coqindex.html#constructor_E">E</a></td>
<td><a href="coqindex.html#constructor_F">F</a></td>
<td><a href="coqindex.html#constructor_G">G</a></td>
<td>H</td>
<td><a href="coqindex.html#constructor_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#constructor_L">L</a></td>
<td><a href="coqindex.html#constructor_M">M</a></td>
<td><a href="coqindex.html#constructor_N">N</a></td>
<td><a href="coqindex.html#constructor_O">O</a></td>
<td><a href="coqindex.html#constructor_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#constructor_R">R</a></td>
<td><a href="coqindex.html#constructor_S">S</a></td>
<td><a href="coqindex.html#constructor_T">T</a></td>
<td><a href="coqindex.html#constructor_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#constructor_W">W</a></td>
<td>X</td>
<td><a href="coqindex.html#constructor_Y">Y</a></td>
<td><a href="coqindex.html#constructor_Z">Z</a></td>
<td>_</td>
<td>(211 entries)</td>
</tr>
<tr>
<td>Axiom Index</td>
<td>A</td>
<td>B</td>
<td>C</td>
<td>D</td>
<td>E</td>
<td><a href="coqindex.html#axiom_F">F</a></td>
<td>G</td>
<td>H</td>
<td>I</td>
<td>J</td>
<td>K</td>
<td>L</td>
<td>M</td>
<td>N</td>
<td>O</td>
<td>P</td>
<td>Q</td>
<td>R</td>
<td>S</td>
<td>T</td>
<td>U</td>
<td>V</td>
<td>W</td>
<td>X</td>
<td>Y</td>
<td>Z</td>
<td>_</td>
<td>(1 entry)</td>
</tr>
<tr>
<td>Inductive Index</td>
<td><a href="coqindex.html#inductive_A">A</a></td>
<td><a href="coqindex.html#inductive_B">B</a></td>
<td><a href="coqindex.html#inductive_C">C</a></td>
<td><a href="coqindex.html#inductive_D">D</a></td>
<td><a href="coqindex.html#inductive_E">E</a></td>
<td><a href="coqindex.html#inductive_F">F</a></td>
<td>G</td>
<td>H</td>
<td><a href="coqindex.html#inductive_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#inductive_L">L</a></td>
<td><a href="coqindex.html#inductive_M">M</a></td>
<td><a href="coqindex.html#inductive_N">N</a></td>
<td><a href="coqindex.html#inductive_O">O</a></td>
<td><a href="coqindex.html#inductive_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#inductive_R">R</a></td>
<td><a href="coqindex.html#inductive_S">S</a></td>
<td><a href="coqindex.html#inductive_T">T</a></td>
<td>U</td>
<td>V</td>
<td><a href="coqindex.html#inductive_W">W</a></td>
<td>X</td>
<td><a href="coqindex.html#inductive_Y">Y</a></td>
<td>Z</td>
<td>_</td>
<td>(76 entries)</td>
</tr>
<tr>
<td>Definition Index</td>
<td><a href="coqindex.html#definition_A">A</a></td>
<td><a href="coqindex.html#definition_B">B</a></td>
<td><a href="coqindex.html#definition_C">C</a></td>
<td><a href="coqindex.html#definition_D">D</a></td>
<td><a href="coqindex.html#definition_E">E</a></td>
<td><a href="coqindex.html#definition_F">F</a></td>
<td>G</td>
<td><a href="coqindex.html#definition_H">H</a></td>
<td><a href="coqindex.html#definition_I">I</a></td>
<td>J</td>
<td>K</td>
<td><a href="coqindex.html#definition_L">L</a></td>
<td><a href="coqindex.html#definition_M">M</a></td>
<td><a href="coqindex.html#definition_N">N</a></td>
<td><a href="coqindex.html#definition_O">O</a></td>
<td><a href="coqindex.html#definition_P">P</a></td>
<td>Q</td>
<td><a href="coqindex.html#definition_R">R</a></td>
<td><a href="coqindex.html#definition_S">S</a></td>
<td><a href="coqindex.html#definition_T">T</a></td>
<td><a href="coqindex.html#definition_U">U</a></td>
<td>V</td>
<td><a href="coqindex.html#definition_W">W</a></td>
<td><a href="coqindex.html#definition_X">X</a></td>
<td><a href="coqindex.html#definition_Y">Y</a></td>
<td><a href="coqindex.html#definition_Z">Z</a></td>
<td>_</td>
<td>(479 entries)</td>
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